I have the equation A(adsbygoogle = window.adsbygoogle || []).push({});

44*e^(kt/5)+49((1-e^(kt/5))/k)

and I'm supposed to evaluate as k-->0

I think I'm supposed to apply l'hospital's rule to the second part of the equation, which would give

49*((1-t/5*e^(kt/5))/1)

which as k-->0 is

49*(1-t/5)

so the whole thing as k-->0 is

44+49*(1-t/5)

This isn't right, and I also tried l'hosital's rule on the first part of A, which would give 44*t/5 and this isn't right either.

What am I doing wrong?

Thanks.

Here's the whole question, in case I'm not reading it right:

Find the limit of this velocity for a fixed time t_0 as the air resistance coefficient k goes to 0.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: L'hospital's rule

**Physics Forums | Science Articles, Homework Help, Discussion**