so after you use l'hospital's rule the first time you get
\frac{ln(1+\frac{1}{x})+(x+1)(\frac{1}{1+\frac{1}{x}})}{\frac{-1}{x^{2}}}
and that's infin/0 ...right?
ok think i may have a solution
lim x-> infin \frac{x}{[(x+1)ln(1+(1/x))-1]^-1}
then use l'hospital's rule and get
\frac{1}{-[(x+1)ln(1+(1/x))-1]^-1 * [ln(1+(1/x)+(x+1)(1/1+(1/x))}
Homework Statement
lim_{x -> infin} x[(x+1)ln(1+(1/x))-1]
The Attempt at a Solution
Am I able to start this with the chain rule. I'm not sure how to start this.
If I have a small model car and use a spring scale to measure the force, my reading is .130 kg. How do convert that to Newtons? Is gravity relevant to this equation?
I know that F = m x a
the mass of the car is .387 kg
is the accerleration the acceleration of the car or gravity?