For each of the following, decide if Bernoulli's Rule is appropriate for finding the limit. Then find the limit using either Bernoulli's Rule or another appropriate strategy. (Note: You may also need to use other strategies along with Bernoulli's Rule!) ● ● ● ● ● lime→o limt→o →∞0 ● lim, 0 lim- 1 limė→: lim„→0+ x' Guiding Discussion Questions: -cos 30 80 2 t² +3t 4t³-5t² +7 5x tan 5% (Hey this one looks familiar!) sin x In(5x) - ln (7x) 1-sin 0 π 1 2 -Cos tan x How do we know if it's okay to use Bernoulli's Rule? • What strategies can we use instead of Bernoulli's Rule, for the ones where it is not appropriate? What algebraic strategies can we use, to put the limits into a form where we can use Bernoulli's Rule?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 9CR
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Question
For each of the following, decide if Bernoulli's
Rule is appropriate for finding the limit. Then find
the limit using either Bernoulli's Rule or another
appropriate strategy. (Note: You may also need to
use other strategies along with Bernoulli's Rule!)
●
●
●
●
●
limŋ→o
limt→。
→∞
1
-cos 30
80
2
t² +3t
4t³-5t²+7
5x
tan 5% (Hey this one looks familiar!)
sin x
In(5x) - ln (7x)
1-sin 0
-Cos
limx→0
lim-
limė→:
ㅠ
1
2
limo+tan
x
Guiding Discussion Questions:
• How do we know if it's okay to use
●
Bernoulli's Rule?
• What strategies can we use instead of
Bernoulli's Rule, for the ones where it
is not appropriate?
What algebraic strategies can we use,
to put the limits into a form where we
can use Bernoulli's Rule?
Transcribed Image Text:For each of the following, decide if Bernoulli's Rule is appropriate for finding the limit. Then find the limit using either Bernoulli's Rule or another appropriate strategy. (Note: You may also need to use other strategies along with Bernoulli's Rule!) ● ● ● ● ● limŋ→o limt→。 →∞ 1 -cos 30 80 2 t² +3t 4t³-5t²+7 5x tan 5% (Hey this one looks familiar!) sin x In(5x) - ln (7x) 1-sin 0 -Cos limx→0 lim- limė→: ㅠ 1 2 limo+tan x Guiding Discussion Questions: • How do we know if it's okay to use ● Bernoulli's Rule? • What strategies can we use instead of Bernoulli's Rule, for the ones where it is not appropriate? What algebraic strategies can we use, to put the limits into a form where we can use Bernoulli's Rule?
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