Limits says the Truth

Calculus Level 3

True or False?

If lim ⁡ x → ∞ ( f ( x ) + g ( x ) ) \lim \limits_{x\to \infty} (f(x) + g(x)) exists, then lim ⁡ x → ∞ g ( x ) \lim \limits_{x\to \infty}g(x) exists.

Also see this .

True False

Anish Harsha by Anish Harsha , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Anish Harsha
Oct 17, 2015

The answer would be false because if we take f ( x ) = s i n x f(x) = sin x or g ( x ) = − s i n x g(x) = -sin x , this statement would be false. It doesn't follow the laws of limits.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...