Question

Find algebraically: lim(x->0) [(x^2 + 2x)/x^4]

Answer 1

\[\lim_{x \rightarrow 0} \frac{ x^{2}+2x }{ x^{4} }\]

Answer 2

can be simplify to \[\lim_{x \rightarrow 0} (x+2)/x^3\]

Answer 3

ok yeah I gotcha, but if you sub 0 into that it, it's still indeterminate with the 0 in the denominator. So is it just no solution?

Answer 4

I mean no limit?

Answer 5

yes, the limit does not exist, because if you approach from the the left side you get negative infinity and the right positive infinity.

Answer 6

Awesome, dude thanks!

Answer 7

no problem