Question

lim x--> infinity x^2+2/x^2-1. find limit if possible.

Answer 1

When x goes to infinity...all you need to focus on is the highest degree you see in the numerator and denominator...here you have x^2 in both....so imagine infinity^2 / infinity^2...this = ?

Answer 2

or imagine 500^2 / 500^2...or 1^2 / 1^2

seeing the pattern?

Answer 3

And do not think of infinity as a variable, think of it as a number in this case. infinity^2/infinity^2 (same number divided by itself)=1 :)

Answer 4

I got 1/0 as anaswer

Answer 5

but the book says its 1

Answer 6

Can you explain how you're getting 1/0?

Answer 7

well #/x=0 when I multiply by the biggest exponent x^2. I get 1+0/1-1

Answer 8

1/0 = 1.... you cannot devide by 0