Evaluating Limits by Direct substitution

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Jun 02, 2020

Evaluate $\dfrac{1+\cos{\theta}-\sin^2{\theta}}{\sin{\theta}(1+\cos{\theta})}$

May 24, 2020

Evaluate $\dfrac{1}{\sin{10^°}}-\dfrac{\sqrt{3}}{\cos{10^°}}$

May 19, 2020

Evaluate $(x^2y)^\frac{2}{3}-(xy^2)^\frac{2}{3}$, if $x$ $\,=\,$ $\cot{\theta}+\tan{\theta}$ and $y$ $\,=\,$ $\sec{\theta}-\cos{\theta}$

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Evaluate $\displaystyle \large \lim_{x \,\to\, \infty}{\normalsize \dfrac{e^x}{\Big(1+\dfrac{1}{x}\Big)^{x^2}}}$

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Evaluate $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{e^x-e^{x\cos{x}}}{x+\sin{x}}}$

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