be patientNote that:

you should know what is, so continue.

multiply the top and bottom by x:2. lim tan^2x / x

(x ->0)

we get:

Now, , so you should be able to finish this one too

3. lim cos x tan x / x

(x -> 0)

same story as the last one. perhaps a nicer way to do it is to realize that , so the limit would simplify to:

...i guess you're starting to see how important the limit is, huh? ...you may want to simplify this way in the last problem

You want:Below, find lim f(x+h) - f(x) / h

----------- (x->0)

1. f(x) = radical x

rationalize the numerator and simplify