Calculating Limit of Function – A quotient of polynomials to the power of a quotient of functions – Exercise 5941

Exercise

Evaluate the following limit:

lim⁡x→1(1+x2+x)1−x1−x\lim _ { x \rightarrow 1} {(\frac {1+x} {2+x})}^{\frac{1-\sqrt{x}}{1-x}}

Final Answer

lim⁡x→1(1+x2+x)1−x1−x=23\lim _ { x \rightarrow 1} {(\frac {1+x} {2+x})}^{\frac{1-\sqrt{x}}{1-x}}=\sqrt{\frac {2} {3}}

Solution

Coming soon…

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