Question: Compute for the following functions: (a) (x) = x (b) (x) = x 2 (c) (x) = x 3 Based on these examples, what

Compute

lim h0 f(x+h) + f(x-h) - 2f(x) h

for the following functions:

(a) ƒ(x) = x 

(b) ƒ(x) = x2 

(c) ƒ(x) = x3

Based on these examples, what do you think the limit represents?

lim h0 f(x+h) + f(x-h) - 2f(x) h

Step by Step Solution

3.33 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a For fxx lim h0 fxhfxh2fxh 2 lim h0 xhxh2xh 2 lim h0 2hh 2 Here we cant ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!