Question

what is the limit for the next function?

Answer 1

\[\frac{ (3+h)^{-1} - 3^{-1}}{h }\]

Answer 2

h ---> 0

Answer 3

you try a manipulation of L'hospital???????

Answer 4

you have an indeterminate of \[\frac{ 0 }{0 }\] I would try l'hopital's rule

Answer 5

mm i dont know how!

Answer 6

I'm assuming h is just a variable that can be treated like x. just take the derivative of the top portion and the derivative of the bottom and see if you can find a limit as h->0

Answer 7

actually you may not have an indeterminate of \[\frac{ 0 }{ 0 }\]

Answer 8

\[\lim_{h \rightarrow 0}\frac{ 1 }{ h[(3+h)-3] }\]

Answer 9

but ho did we get the 1 in the numerator?

Answer 10

how*

Answer 11

I just rearranged the equation not sure exactly what to do next. Not sure what the question means by "next function"

Answer 12

mmm yaa, i dont know how to solve it !, my teacher doesnt allow me to derivate the function so i dont know what he want me to solve it :/

Answer 13

how* instead of what haha >.< :/