ex- (1+ х) Use series to evaluate lim 6x2 X - (1 + X) ex. lim 6x? (Type a simplified fraction.)

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) *…

A: Given:           series ∑n=0∞x-3n2n                   =∑n=0∞2-nx-3n                    =∑n=0∞x2-32n

Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

Q: cos-n diverges Ln=1 nyn - Use the Comparison test to determine whether the series converges or

A: The given series is ∑n=1∞cos2nnn

Q: e-(1+3) 4- Use the series to evaluate lim

A: We have to find the limit

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 2…

A:

Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

A:

Q: Write a general power series of a solution centered at a regular point x0=3.

A:

Q: 1-Cosx The value of limx→0 by using series is 1+x-e*

A:

Q: Use series to evaluate the limit.    limx->0 x-arctan (x)/ (pi)x3

A: Power series expansion of tan-1(x) is   tan-1(x) = x - x3/3 + x5/5 - x7/7 + .........

Q: tanh- = Σ 1 -x²n-1 2n – 1 n=1 Find the radius and interval of convergence for this series. Show all…

A:

Q: IV. Determine if the given is convergent or divergent. dx (x² + 1)² 1.

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

A:

Q: How do you evaluate the limit:  limt-->0 (1-cos(7t))/(sin(7t)) WITHOUT using L'Hospital's rule?…

A: The given limit can be evaluated using series expansion.Use the expansion for sin and cos to…

Q: n+1 Suppose lim =1 then the series is a Divergent Convergent inconclusive Analytic o

A:

Q: Find a formula for the power series of f(x) = 2 ln (1 + x), −1 < x < 1 in the form Σ an. n=1 2 1 + x…

A: Given function is ,               f(x) = 2 ln(1+x)  Power series :  Power series of a function…

Q: - 21x -1). Use series to evaluate lim 6x (e lim 6x° (e -2/x² -1) -O (Simplify your answer.)

A:

Q: Values of a series; Since EniXi = 180, x= 4.5 and Eni (Xi- x)2 =56, what is the coefficient of…

A: Given: The formula and calculations for s, i.e, sample standard deviation is as follows:

Q: j=1 (2³) ² j!

A: Using the ratio test, it can be written that ∑j=1∞aj converges, if limsup aj+1aj&lt;1 and ∑j=1∞aj…

Q: (7) a) Differentiate term by term to find f'(x) for the series f(x)=>; and express the n! n=0…

A:

Q: [MO22] Express as a single power series form: >, (3n + 2)an-1(x + 2)n+3 – > (5n – 2)a,(x+ 2)²-1 n=-1…

A:

Q: a n +1 Suppose lim =1 then the series is n- 00 a o Analytic inconclusive Divergent o Convergent

A:

Q: n!(2n)! Use the ratio test to determine whether the series -1 converges or (3n)! diverges.

A:

Q: Find the radius of convergence, R, of the series. x4n n=2n(ln(n))² R = 8 Find the interval, I, of…

A:

Q: Using the nth term test for divergence, the series Σ an /32n+1 n=1 n=1 is divergent since lim an 16…

A: Divergence

Q: Fex) =I_x-2) 나 - -n. + (-1)". (x-2)h 2 ht1 (x-2)? it Finde- a.values of (x) that make seriies…

A:

Q: 4x Find a power series for f(x) = |x| < 1 in the form an (x² + 1) n=1 Hint: First, find the power…

A: fx=4xx2+12, x&lt;1

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: 10x Find a power series for f(x) = |x| an. (x² + 1)² n=1 Hint: First, find the power series for…

A: To find the power s

Q: 2n converges. Find the sum Find the values of x for which the series of the series for those values…

A:

Q: pref ย 8]T C {}},

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) (x…

A:

Q: sin k Use the (Basic) Comparison Test to determine whether the series . k 12. k-1 converges or…

A: To determine whether the given series converges or diverges by comparison test.

Q: Find the radius of convergence, R, of the series. 2(-1)" (x - 3)" 2n + 1 R = Find the interval, I,…

A: If the interval of the convergence is (a,b) then radius of convergence will be (b-a)/2According to…

Q: 0se the ratio test to determine whether the series Convergent cr divergent (-1)-1 2"n3

A: A series is given by, ∑n=1∞-1n-13n2nn3. The objective is to use the ratio test to determine whether…

Q: a n+1 =1 then the series is Suppose lim 71 Divergent Convergent Analytic inconclusive

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) (x…

A: I have to find interval of convergence

Q: 1 - cos (x) x2 | se the Maclaurin series for cos(x) to evaluate lim

A: In this question we will use basic of calculus i.e concept of limits and  Maclaurin series…

Q: Using differentiation and/or integration, find a power series representation for the following…

A:

Q: Use series to evaluate lim X→0 ex-(1+x) 4x² lim X→0 (Type a simplified fraction.) ex-(1+x) 2 4x²

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

A: solve the following

Q: Using 1/(1-x), find a power series for f(x)= 3/(2x+5) and its interval of convergence. Write step by…

A:

Q: 3x Represent the function as a power series f(x) = )` 2+ x n=0

A: Explanation of the answer is as follows

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) (x…

A:

Q: sin x Evaluate lim by using series is: x→0 x +1 -1 +2 ООО О

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) n…

A:

Q: ex - (1 + x) 11x2 X Use series to evaluate lim ex - (1 + x) lim 11x? II

A:

Q: The value of limx→o ex-1-x x² by using series is

A: I have given the answer in the next step. Hope you understand that

Q: u se power Series to Solve this DuE (L-X) g - 2xj+2y=0 %3D

A:

Q: sin(n) n2 Determine if the series, is absolutely convergent, conditionally convergent, or divergent.…

A: Given:         ∑n=1∞sin(n)n2    If sum of an converges ,then sum of an converges.…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.