Question

how do you find the limit of

5x^2 + 3x -1 / 6x^2 - x + 7

x--> infinity

Answer 1

when you have infinity , you can neglect the x with lower degree ad you can imagine that there is just 5x^2/6x^2 then by canceling x^2 in num and dom you reach 5/6 and that's the answer
now tell me what's the answer of this limit ?
x^2+1/X^2+5
x-->infinity

Answer 2

is that just 1 then?

Answer 3

yes that's correct, thanks