Question

Find the limit of the function algebraically. Lim x->0

(X^2) +3/x^4
Some body please help me

Answer 1

\[\lim_{x \rightarrow 0}\frac{x^{2}+3}{x^{4}} \text{ like this?}\]

Answer 2

All you need to do is look at your degrees of x on the numerator and denominator

x^2/x^4

if you divide these two you will get 1/x^2 which looks like 1/x

The limit for 1/x x-->0 does not exist since it approaches positive infinity from one side and negative infinity on the other.

Answer 3

Does this makes sense?