# Math Help - Limits tending to infinity of a tricky function

1. ## Limits tending to infinity of a tricky function

Please could someone assist me with this question

Compute the limit of

lim t→∞ p(t)

where p(t) = M*exp(D*exp(c*t))

2. ## Re: Limits tending to infinity of a tricky function

Originally Posted by charlottewill
Please could someone assist me with this question

Compute the limit of

lim t→∞ p(t)

where p(t) = M*exp(D*exp(c*t))
$\displaystyle\lim_{t \to \infty}M\cdot e^{D \cdot e^{c \cdot t}}=M \cdot e^{D \cdot e^{\infty}}=\infty$

3. ## Re: Limits tending to infinity of a tricky function

Originally Posted by princeps
$\displaystyle\lim_{t \to \infty}M\cdot e^{D \cdot e^{c \cdot t}}=M \cdot e^{D \cdot e^{\infty}}=\infty$
How do you prove that