Find the limit

Question

lim
x->2

(2x^2 +1)/(x^2 + 6x -4)

Answer 1

step 1 in any limit question is to actually substitute the approach value into your expression.
If you get a real number, that is your answer, you are done!

lim (2x^2 + 1)/(x^2 + 6x - 4) as x --> 2
= 9/12
= 3/4

Voila!!! all done.