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Calculating Limit of Function – A quotient of polynomials to the power of a quotient of functions – Exercise 5939

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow 0} {(\frac {1+x} {2+x})}^{\frac{1-\sqrt{x}}{1-x}}

Final Answer

\lim _ { x \rightarrow 0} {(\frac {1+x} {2+x})}^{\frac{1-\sqrt{x}}{1-x}}=\frac{1}{2}

Solution

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