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Homework Statement
lim (x*sin(x)) / (2-2*cos(x)
x-> 0
The Attempt at a Solution
I remember the trick to these is to get sinx/x and (1-cosx)/x by multiplying by x/x...
When I multiply the expression by x/x I end up with (x^2 sinx)/(2x(1-cosx))
The sinx/x goes to 1, but the x/(1-cos(x)) goes to zero right? Wouldn't that make the whole expression go to zero, as the separate limits are multiplied together? The book says the answer is one...