# Limits tending to infinity of a tricky function

• March 7th 2012, 10:49 AM
charlottewill
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))
• March 7th 2012, 10:18 PM
princeps
Re: Limits tending to infinity of a tricky function
Quote:

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))

$\displaystyle\lim_{t \to \infty}M\cdot e^{D \cdot e^{c \cdot t}}=M \cdot e^{D \cdot e^{\infty}}=\infty$
• March 8th 2012, 04:47 AM
psolaki
Re: Limits tending to infinity of a tricky function
Quote:

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