Posted by **Michael** on Thursday, October 28, 2010 at 11:12pm.

Compute lim f(2+h)-f(2)

h->0 ---------

h

- Find the limit -
**Reiny**, Thursday, October 28, 2010 at 11:20pm
did you mean

Compute lim( f(2+h)-f(2) )/h as h ---> 0 ?

If so, then this has the appearance of attempting to find the derivative of f(x) = x by First Principles when x = 2

Short way is to know that

f ' (x) = 1 , and so the result would be 1

long way:

lim( f(2+h)-f(2) )/h as h ---> 0

= lim ( x + h - x)/h as h --> 0

= lim h/h

= 1

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