I was doing a question in which I had to compute the left hand limit of $(\sin X)^{x}$. So in my solution booklet it is given that the left hand limit doesn't exist. When I graphed it on Desmos, the part on the -ve $X$ axis was missing, at least near $0$. Why does this happen? I mean, the sine of a negative number, however small it is should be a negative number, and negative numbers can be raised to exponents of negative numbers too. Then what's the problem here?
2026-04-02 04:59:27.1775105967
Negative Power of a trigonometric function
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