Question

can anyone help me with the following question?
find a value of c that makes the function:
f(x)={9x-3sin3x/5x^3 , x ≠ 0
{c, x=0

Answer 1

Since lim f as x-> 0 = 0/0
we could use L'Hopitals rule and keep differentiating the numerator and denominator until lim is defined
i get a value of c = 2.7

Answer 2

you have to keep taking the derivitive until you get a constant on the bottom
oh and you can only do this each time if lim = 0/0

Answer 3

did that help?
are you able to work it out?

Answer 4

thankyou so much for your help.it helped alot

Answer 5

great !