Question

Find the limit of the function algebraically:
lim x-->0 (x^2+3)/x^4

Answer 1

@TheSmartOne @uri

Answer 2

I'm not sure, I haven't learned this, maybe @Michele_Laino @texaschic101 @johnweldon1993 @rishavraj can help you :)

Answer 3

could i factor and then cancel?
x(x+3)/x^4=

Answer 4

x^3(x+3) is this right so far

Answer 5

Well the original question is

\[\large \lim_{x\rightarrow 0} \frac{x^2 + 3}{x^4}\] right?

Answer 6

yes

Answer 7

Well I can tell you the top cannot be factored... you cannot take an X out because the 3 doesnt have an 'x'

The bottom cannot be simplified in a way that would help anything here

So if nothing can be simplified all we can do is plug 0 in for 'x' and see that

\[\large \lim_{x \rightarrow 0} \frac{x^2 + 3}{x^4} = \infty\]

Answer 8

ohh

Answer 9

so thats the answer?

Answer 10

Correct

Answer 11

thanks so much!!!

Answer 12

:')

Answer 13

Not a problem!