3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. x* – 256 lim- i. х — - 4 x2 – 3x lim- х-3 х2 — 9 ii.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every
situation? Please justify your answer?
(b) Evaluate each limit. Use L'Hospital's Rule where appropriate.
x4 – 256
lim-
x – 4
i.
x→4
x2 – 3x
lim-
х>3 х2 — 9
ii.
-
Transcribed Image Text:3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. x4 – 256 lim- x – 4 i. x→4 x2 – 3x lim- х>3 х2 — 9 ii. -
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