Question

anyone know a good example using the l hopital' rule

Answer 1

\[lim_{x->0}\frac{\sin(x)}{x}\] is a good one

Answer 2

harder is
\[lim_{x->\infty}(1+\frac{3}{x})^x\]

Answer 3

The second one haha. DO IT.

Answer 4

i mean harder if the answer isn't obvious, which it is

Answer 5

first one you have memorized, second one is clear if you know what it says, but you can solve it using l'hopital if it is not

Answer 6

Isn't that the limit definition of e^a? Where a would take the place of 3?

Answer 7

3

Answer 8

yes i meant yes sorry. it is
\[e^3\]

Answer 9

but you can do it using l'hopital. take the log, that the limit, get 3, exponentiate.

Answer 10

yeah lol

Answer 11

explain to me how the derivative of sin (x) is cos x..

Answer 12

Someone did that derivation for you earlier?