Question

A calc problem...
If f(x) = 3secx - 2cosx + 4,
evaluate the limit as x->(4pi/3) (f(x)-f(4pi/3))/(x-(4pi/3))

Answer 1

If f(x) = 3secx - 2cosx + 4,
evaluate the limit
\[\lim_{x \rightarrow 4\pi /3} \frac{ f(x)-f(4\pi /3) }{ x - (4\pi /3) }\]

Answer 2

You can do it. It's a derivative.

Answer 3

is it -5√3 ?

Answer 4

not even sure how you got that. Where are you stuck anyway?

Answer 5

why don't you try plugging in and look for the limit first
this was a bonus question on my test... I think my teacher was trolling...

Answer 6

I got the answer that I got by finding the derivative then plugging in (4pi/3)
but not sure how to get the answer by limit process 0.o

Answer 7

Well, it probably takes a lot of algebra that sucks to do.