- #1

ptolema

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## Homework Statement

give an example of a function f for which lim f(x) as x[tex]\rightarrow[/tex][tex]\infty[/tex] exists, but lim f'(x) as x[tex]\rightarrow[/tex][tex]\infty[/tex] does not exist.

## Homework Equations

f'(x) = lim [f(x+h)-f(x)]/h as h[tex]\rightarrow[/tex]0

## The Attempt at a Solution

for some reason, i can only seem to find equations where lim f(x) as x[tex]\rightarrow[/tex][tex]\infty[/tex] does not exist, but lim f'(x) as x[tex]\rightarrow[/tex][tex]\infty[/tex] does exist. ex.f(x)=x and f'(x)=1