Help find limit as x approaches 0 I think the answer is 0. Please help!

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Help find limit as x approaches 0 I think the answer is 0. Please help!

Mathematics
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does 1+cos(x) go bad when x=0?
if a direct application does not create any bad maths, then the limit is equal to the value at f(c) ... this might not be kosher when it comes to piecewise functions tho

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Other answers:

at x=0, 1+cos(0)=2 so no it doesn't go bad?
then there is no mathing issue here .... the limit is the value of the function; which is zero
if you know the taylor series for sin and cos x + .... odd powers of x --------------------------- 1 + (1+x^2+..even powers of x) when x=0, the top is 0 and the bottom is 2

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