I need to evaluate
limx→0sin(4x)sin(3x)
I solved this using L'Hospital's Theorem and I got 4/3
However, is there a way to do this without applying this theoerm?
Answer
As limx→0sin(x)x=1
limx→0sin(4x)sin(3x)
can be written as
43limx→0sin(4x)4x3xsin(3x)
=43
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