1.

limit X tends to zero a power x + a x + a power x minus x minus 2 a power x upon x square\(\lim\limits_{x\to 0}\frac{a^x+ax+a^x-x-2a^x}{x^2}\)

Answer»

\(\lim\limits_{x\to 0}\frac{a^x+ax+a^x-x-2a^x}{x^2}\)

 = \(\lim\limits_{x\to 0}\frac{2a^x+ax+x-x-2a^x}{x^2}\) 

\(\lim\limits_{x\to 0}\frac{x(a-1)}{x^2}\) = \(\lim\limits_{x\to 0}\frac{a-1}{x}=\frac{a-1}0\) 

 = ∞ (not defined)



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