Here is a question I have:
I have to calculate the limit $ \displaystyle{ \lim_{t \to 0} \frac{e^t -1}{te^t} }$. Can we apply the L'Hopital rule or I have to write it as: $ \displaystyle{ \lim_{t \to 0} \frac{e^t -1}{te^t} = \lim_{t \to 0} \frac{e^t-1}{t} \cdot \frac{1}{e^t} =1 \cdot 1=1 }$
Is $ \displaystyle{ \lim_{t \to 0} \frac{e^t-1}{t} }$ a "basic" limit that cannot be calculated using L'Hopital rule?
Thank's in advance!
edit: I was made I typo. Now it is the correct.
Can we apply L'Hopital's rule to calculate the limit $ \displaystyle{ \lim_{t \to 0} \frac{e^t -1}{te^t} }$ ?
Sorry for the confusion.