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

## Answer This Question

## Related Questions

- calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...
- Calculus. Limits. Check my answers, please! :) - 4. lim (tanx)= x->pi/3 -(...
- Calculus - Sorry for posting another quesiton..; f(x) = { -7x^2 + 7x for x<=...
- Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...
- calc - Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ......
- survey of clac - g(x)={x+6, for x<-2, -1/2x+1, for x> or equal to -2, find...
- Calculus - Find the positive integers k for which lim ->0 sin(sin(x))/x^k ...
- Calculus - Find the indicated limits. If the limit does not exist, so state, or ...
- Calculus - Find the indicated limits. If the limit does not exist, so state, or ...
- Calculus - I have two similar problems that I need help completing. Please show ...

More Related Questions