Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h right arrow 0 StartFraction f (x plus h )minus f (x )Over h EndFraction occur frequently in calculus. Evaluate this limit for the given value of x and function f. f (x )equals StartRoot x EndRoot, xequals11

Step-by-step explanation:

We use binomial expansion for

This can be rewritten as

From the expansion

Setting and ,

Multiplying by ,

The limit of this as is

(since all the other terms involve and vanish to 0.)

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

0.85% : )

step-by-step explanation: