Question

as x approaches 0, (x^2 + 2x)/ x^4. how do i find the limit of the function algebraically?

Answer 1

divide top and bottom by x^4 and what do you get?

Answer 2

idk.........

Answer 3

do you know what divide means?

Answer 4

yes... how do i divide a larger exponent into a smaller one

Answer 5

x^2/x^4 = 1/x^2

Answer 6

so you will have
((1/x^2)+(2/x^3)) / 1
does this make sense?

Answer 7

you might need to go back and study your algebra before you do calculus, you should know how to divide exponents with like bases if you are going to do calc

Answer 8

does the limit not exist?

Answer 9

I simply divided every term by x^4

x^2/x^4 = 1/x^2
2x/x^4 = 2/x^3
x^4/x^4 = 1

Answer 10

correct

Answer 11

because now we have 1/0+2/0 -> infinity