How to calculate the limit $$\lim_{x\to0}{x(-2)^x}$$ Does it exist or not?
My work: For positive $a$ it is easy to handle the term $a^x$ because the term $\ln(a)$ exists but I am unable to deduce some concrete understanding for negative $a$ value.
2026-04-09 02:34:39.1775702079
Limit Evaluation of $a^x$ for negative a
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