SOLUTION: Evaluate the following limits or show they do not exist: a) lim x→0 {{{ (sin(x))^2/(x(1-cos(x))) }}} b) lim x→0 {{{ (sin(ax))/(sin(bx)) }}} where a,b are nonzero

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Question 365859: Evaluate the following limits or show they do not exist:
a) lim x→0
b) lim x→0 where a,b are nonzero real numbers
c) lim x→1
d) lim x→2

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
b) Answer is a/b, by L'Hopital's rule.
c) Limit does not exist: left and right hand limits are not the same. Right hand limit is 1, while the left hand limit is -1.
d) . Therefore the limit is

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