Tuesday

October 21, 2014

October 21, 2014

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

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

h

- Find the limit -
**Reiny**, Thursday, October 28, 2010 at 11:20pmdid 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 ...