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# Calculating Limit of Function – A quotient of polynomials to the power of a quotient – Exercise 5996

### Exercise

Evaluate the following limit:

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

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