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 correctsteps that you have to take:First[ Choose]Second[ Choose ]Third[ Choose ]Finally, lim y =[Choose]

Answered: For solving a limit problem lim f…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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