I am given $$ f(x) = \lim\limits_{n \to \infty } (1+x)(1+x^2)(1+x^4)...((1+x^{2^n})$$ where $|x| <1$ I think maybe we may apply squeeze theorem here to simplify expression so I took log of the function $$ln(f(x))= ln(1+x)+ln(1+x^2)+ln(1+x^4)+...+ln(1+x^{2^n})$$ I don't know how to proceeded now
2026-03-30 16:01:48.1774886508
Simplify the function of x
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hint: take $f(x)=f(x)\cdot\dfrac{1-x}{1-x}$