Question

Evaluate lim x-> f(x)/g(x) where f(x) = e^2x and g(x) = 3x^2 - 3x + 6

Answer 1

\[\Large \lim_{x \to ?} \]

Answer 2

lim as x approches ? of\[\frac{e^2x}{3x^2-3x+6}\]

Answer 3

where is the limit directing

Answer 4

lim->1

Answer 5

pretty sure you can just plug in 1 if im not mistaken

Answer 6

if that was o or infinite then you would have used taylor series to solve it

Answer 7

the only time you need to be fancy with solving limits is if you end up with something like 1/0, 0/0, inf/inf, etc.

in this case you can justp lug it in

Answer 8

but since its x->1 then the answer is simple

Answer 9

ok thx guys so i just plug in 1 right?

Answer 10

yup

Answer 11

ok

Answer 12

I got 3 + e^2/3 ?

Answer 13

should be (e^2)/6

when you plug in 1 in the denominator, the 3x^2 and 3x terms cancel out and you are left with just 6

Answer 14

@funinabox's got this

Answer 15

ok