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Exercise

$\lim_{x\to0}\left(\frac{1-t\cos\left(x\right)}{x^2}\right)$

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Final answer to the exercise

The limit does not exist

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  • Integrate by partial fractions
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$\lim_{x\to0}\left(\frac{sqrt\left(5x+1\right)-1}{x}\right)$

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$\int\sqrt{x-5}\cdot\left(3x+1\right)$

$x\:-\:y\:con\:-3x\:+\:2y$

$\frac{1}{\sin^2x}=\cot^2x+1$
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