Question

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

x^2 + 3/x^4

Answer 1

@gurrilabill

Answer 2

Can you help?

Answer 3

are there choices

Answer 4

\[\lim_{x\to0}\frac{x^2+3}{x^4}=\lim_{x\to\infty}\left(\frac{x^2}{x^4}+\frac{3}{x^4}\right)=\lim_{x\to\infty}\left(\frac{1}{x^2}+\frac{3}{x^4}\right)\]
Both \(\dfrac{1}{x^2}\) and \(\dfrac{3}{x^4}\) approach \(\infty\) as \(x\to0\) from either direction.