How do I solve this limit? #lim_(x->0)((1-cos^3(3x))/(xsin6x))#
I know I have to find a workaround the division by zero, but I just don't see it.
Thanks in advance.
I know I have to find a workaround the division by zero, but I just don't see it.
Thanks in advance.
1 Answer
Mar 20, 2018
\ See below.
Explanation:
# = ((1-cos(3x)(1+cos(3x)+cos^2(3x))))/(2xsin(3x)cos(3x)) * (1+cos(3x))/(1+cos(3x))#
# = (sin^2(3x)(1+cos(3x)+cos^2(3x)))/(2xsin(3x)cos(3x)(1+cos(3x))#
# = 3/2(sin(3x)/(3x))(1+cos(3x)+cos^2(3x))/(cos(3x)(1+cos(3x))#
As