Finding the limit as x--> infinity: [sqrt(5 + 5x^2)]/(5 + 7x) 1. lim[√(5 + 5x^2)]/(5 +7x) x→∞ 2. Alright, I thought I would have first find the largest exponent of x in the denominator. In this case, the largest exponent is x^1. The next step is to divide every term by x^1. Since I cannot divide something in a square root by x, I thought I COULD multiply it by √(1/x^2). That's the same thing as dividing by x. So, this is what I have: [√(1/x^2)*√(5 + 5x^2)]/(5/x + 7x/x) = [ √(5/(x^2) + 5x^2/x^2) / ((5/x) + 7) ] * (1/x^2)/(1/x) = √((5/x^2) + 5) / ((5/x) + 7) Then I thought if you substitute infinity for x here, then the (5/x^2) and the 5/x both equal 0. So, it's √((5/0) + 5) / (0 + 7) = √(5)/7 .....This is not the right answer... =_= Could you find my mistakes? Thank you so much!