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

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

dumbcow · Answer

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

dumbcow · Answer

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

dumbcow · Answer

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

anonymous · Answer

thankyou so much for your help.it helped alot

dumbcow · Answer

great !