Thursday

August 28, 2014

August 28, 2014

Posted by **John** on Saturday, September 18, 2010 at 7:21pm.

Show an example that the limit as x goes to a f(x) goes to [f(x)+g(x)] may exist even though neither the limit as x goes to a f(x) approaches f(x) or g(x) exist.

- Calculus -
**MathMate**, Saturday, September 18, 2010 at 8:46pmI have difficulties understanding the question exactly. Could you post the question as it is shown in the book? If there are italics font on certain expressions, put them between double quotes.

The limit of a function f(x) as x→a can exist even if f(x) does not exist. The conditions are that

both Lim x→a+ and Limx→a- must exist (i.e. not ±∞).

Also the two limits must be equal.

An example is f(x)=(x-1)(x+2)/(x-1)

**Related Questions**

calculus - Find the surface area of the part of the sphere x^2+y^2+z^2=a^2 ...

Calculus - Find the indicated one sided limits of f. f(x)= (x^2+8)/(x^2-25) what...

Calculus; Limits - Evaluate limit, x -> a, [(x + 4a)^2 - 25a^2] / [x - a] My ...

Calculus/College Algebra - I'm so lost. We're working on limits for this ...

math - how is the limit of x^2/(1-cos^2(x)) as x goes to 0 is 1. I know how to ...

CALCULUS LIMITS - What is the following limit? lim as n goes to infinity of (pi/...

Math (limits) - Find the limit or state that the limit does not exist for 3sub n...

Calculus - Our professor wants us to evaluate the limits analytically without ...

calculus verify answer - Evaluate the limit: Limit as x approaches 6 from the ...

calculus - The question I'm having problems with is If f(x)=3x^2+7x+2, find f'(4...