Question

find the limit lim x→ ∞ 3x/√x^2+4

Answer 1

(will give medals and fan) :D

Answer 2

Is the 4 written within the square root?

Answer 3

yupp

Answer 4

divide everything (numerator and denominator) by the highest power.

Answer 5

Use L'Hopital's rule to find the value of the limit: http://en.wikipedia.org/wiki/L'Hôpital's_rule Differentiating gives the limit from -infinity to be -3: http://www.wolframalpha.com/input/?i=+3x%2Fsqrt%28x%5E2%2B4%29