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Exercise

$\lim_{x\to\infty}\left(\frac{x^2-2x+3}{x^2-3x+2}\right)^{\frac{\sin\left(x\right)}{x}}$

Step-by-step Solution

1

The limit $\lim_{x\to\infty }\left(\left(\frac{x^2-2x+3}{x^2-3x+2}\right)^{\frac{\sin\left(x\right)}{x}}\right)$ is indeterminate, because the limit of trigonometric functions as $x$ approaches infinity is indeterminate

indeterminate

Final answer to the exercise

indeterminate

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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