Lim x - 0x22-1-1-cos x

Lim_x→ 0x(2^x 1)/1 cosx =lim_x→ 0x(2^x 1)/2sin^2 ( x/2 ) =lim_x→ 0(2^x 1)/x×lim_x→ 0x^2/ ( sin ( x/2 )/x/2 )^2×x^2/2 =2 log 2 =log 4 ...

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Standard Limits to Remove Indeterminate Form

lim x → 0x22-...

Question

${lim}_{x \to 0} \frac{x (2^{x} - 1)}{1 - c o s x}$

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Solution

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