Evaluate the limits of the numerator and denominator of the following function. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f(r) - g(z) = lim 72 8. inf f'(z) 9'(z) nd reducing to the simplest fraction possible. Your answer should not include any negative exponents. 2sqrt(x^2+8) ing your answer to part (b), evaluate the limits of the numerator and denominator of the following. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f'(x) o g'(x) %3D inf f"(z) nd g"(z)' reducing to the simplest fraction possible. Your answer should not include any negative exponents. X z) sqrt(x^2+8) sed on your answers to the above questions, can one use L'Hospital's rule to evaluate lim, 00 no aluate the limit using another method. +00
Evaluate the limits of the numerator and denominator of the following function. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f(r) - g(z) = lim 72 8. inf f'(z) 9'(z) nd reducing to the simplest fraction possible. Your answer should not include any negative exponents. 2sqrt(x^2+8) ing your answer to part (b), evaluate the limits of the numerator and denominator of the following. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f'(x) o g'(x) %3D inf f"(z) nd g"(z)' reducing to the simplest fraction possible. Your answer should not include any negative exponents. X z) sqrt(x^2+8) sed on your answers to the above questions, can one use L'Hospital's rule to evaluate lim, 00 no aluate the limit using another method. +00
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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Question
Please do parts B, D, and F.
Transcribed Image Text:Evaluate the limits of the numerator and denominator of the following function. Note: Do not use L'Hospital's rule, just evaluate the limits.
inf
f(x)
lim
I 00 g(x)
= lim
Vx2 + 8
inf
f'(z)
b) Find
g'(z)
reducing to the simplest fraction possible. Your answer should not include any negative exponents.
f' (x)
(x),6
2sqrt(x^2+8)
c) Using your answer to part (b), evaluate the limits of the numerator and denominator of the following. Note: Do not use L'Hospital's rule, just evaluate the limits.
inf
f'(x)
lim
I00 q'(x)
inf
d) Find
f"(z)
reducing to the simplest fraction possible. Your answer should not include any negative exponents.
g"(x)
f" (x)
g" (x)
sqrt(x^2+8)
e) Based on your answers to the above questions, can one use L'Hospital's rule to evaluate lim, y0
no
+00
f)Evaluate the limit using another method.
limz 00
Vr +8
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