For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the correct steps that you have to take: First [Choose] Second [ Choose ] Third [ Choose] Finally, lim y = [ Choose ]

For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the correct steps that you have to take: First [Choose] Second [ Choose ] Third [ Choose] Finally, lim y = [ Choose ]

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

100%

define y, calculate e^{lim ln y} (e to the power of lim ln y), determine ln y, or calculate lim ln y

For solving a limit problem lim f(x)") which is in the form of indeterminate power, here are the correct
steps that you have to take:
First
[ Choose]
Second
[ Choose ]
Third
[ Choose ]
Finally, lim y =
[Choose]

Expert Solution

Step 1

$W e h a v e g i v e n \lim_{x \to a} f {(x)}^{g (x)} w h i c h i s i n t h e f o r m o f i n d e t e r m i n a t e p o w e r l e t y = \lim_{x \to a} f {(x)}^{g (x)} t a k i n g \ln b o t h \ln y = \underset{x \to a}{\lim g (x) \ln} f (x) i f i t i s \frac{0}{0} o r \frac{\infty}{\infty} t h e n a p p l y L' h o s p i t a l r u l e o t h e r w i s e u s e d i f f e e r n t f o r m u l a t o s i m p l i f y i t$

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