Homework Statement
lim x-> 0 ( sin(5x) - 3x ) / ( 3x )
Homework Equations
(a - b) / c = (a / c) - b
The Attempt at a Solution
(1/3) lim x->0 ( sin(5x) / x ) - 3x
= (1/3) lim x->0 ( sin(5x) / x )( 5 / 5) - 3x
= (5/3) lim x->0 ( sin(5x) / 5x ) - 3x
= (5/3) * 1 - 3x
= (5/3) - 3x
= (5/3)
I...