Evaluate the limit

Question

lim 7e(^-6x)
as x -> infinity.

Thanks

Answer 1

lim 7e^(-6x) as x -->∞
= lim 7/e^(6x)

now use an intuitive approach.
as x --> ∞ , the denominator becomes larger and smaller, so that
7/(very large) ---> 0

lim lim 7e^(-6x) = 0