### Questions (11)

 6 Trigonometric Integration ${\int_{0}^{2\pi}} \sin(2x)\cos(3x)\, dx$ 4 Does the series $\sum_{n=2}^{\infty } \frac{1}{n(\ln(n))^{2}}$ converge or diverge? 1 Solving $\lim_{n \rightarrow \infty} \frac{1}{n}\sum_{k=1}^{n} e^{{5k}/{n}}$ 1 Does the series $\sum_{n=1}^{\infty}(-1)^{n}n^{2}e^{\frac{-n^{3}}{3}}$ converge or diverge? 1 Finding the limit as $(x,y)\rightarrow (0,0)$ [duplicate]

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 1 Proving derivative is continuous using L'Hospital's Rule 1 Is there an example of using L'Hospital's Rule on a product where it doesn't work? 0 Trigonometric identities and explanations

### Tags (13)

 1 calculus × 12 0 sequences-and-series × 2 1 limits × 6 0 summation × 2 1 real-analysis 0 functions × 2 0 multivariable-calculus × 5 0 definite-integrals 0 trigonometry × 2 0 partial-derivative

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