I need help taking the limit of this problem please:
f(x) = sin(x) / [x + tan(x)] as x approaches 0
Any help would be appreciated, thank you.
The lazy way is to use l'Hopitals Rule. Have you been taught it?
Alternatively, you can substitute the Maclaurin Series for sin x and tan x, then cancel out the common factor of x in the numerator and denominator and then take the limit without trouble.