If /10 - 7x sf(x)s/10 -x for -15xs1, find lim f(x). x-0

Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x->4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides.

Q: Find the limit (if it exist).

A: Given,

Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

A:

Q: 3. Evaluate this limit. x + 4 lim x--4 4x + 16

A: given,

Q: Find the limit L. 2x + 10x + 8 lim X→-4 x + 4 L =

A: Solution-

Q: Find the limit, if it exists.

A: Consider the given: limx→∞ x21−8x2Divide numerator and denomintor by "x2",limx→∞ x21−8x2=limx→∞…

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

A:

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

A:

Q: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

A:

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: If √5 − 2x^2 ≤ g(x) ≤ √5 − x^2 for −1 ≤ x ≤ 1, find limx→0 g(x)

A:

Q: If 7-6x2 sf(x)s 7-x² for -1sxs 1, find lim f(x). X→0 lim f(x) =

A: If 7-6x2≤f(x)≤7-x2 for -1≤x≤1, we have to find limx→0f(x)

Q: If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find  lim x→2 f(x)

A: The Sandwich theorem is given by, If, g(x)≤fx≤hx And, limx→agx=limx→ahx=L Then, limx→afx=L

Q: Estimate the limit numerically. x+14x + 49 lim x+7

A:

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: b) limx-2+ 72-4 x²– 4

A: To evaluate: limx→2+x-2x2-4

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find lim x→2 f(x).

A: From Sandwich theorem

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: Calculate the limit if it exists: lim x→4 for 5/(x-4)2

A:

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: 2 – 5x – 14 Evaluate the limit: lim - - x - 2 x + 2

A: Topic:- Limits Answer =  -9

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: Find the limit. -7x + 5 lim Vx2 + x X→-0

A: Given limit, limx→-∞-7x+5x2+x

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

A:

Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: Evaluate the limit  Limx-&gt;0 (ex-1-x)/x3

A:

Q: lim x→5 (7x − 6

A:

Q: 1. If V5 - 2x² s f(x) s V5- x? for -1sxS1, find lim,-o f(x).

A: Answer and explanation is given below...

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: Find the limit. /x² +3 - 2 lim X- 1 X1

A:

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

A:

Q: Let flx)= S2x-1 if x>3 what is lim f(x) ? 2x+2ifX<3, what is lim flx)? メ-3 とラメふとす

A: Given: fx=2x-1if x&gt;3x+2if x≤3

Q: -x2 if x 3 Iff (x)

A: Take value of f(x) for value of x just less than zero.

Q: If /6 – 5x2 sf(x)sV6-x² for - 1sxs1, find lim f(x). N6-5x² lim f(x) = X→0 (Type an exact answer,…

A: Solve by taking limit both side

Q: Evaluate the limit. x2 + 2x – 15 lim- x – 3 X-3

A:

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true