# Dimitris Nt

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 9 If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$. 5 Calculus Complicated Substitution Derivative 4 If $\lim_{x \to \infty} \frac{f'(x)}{x}=2$ does it follow that $\lim_{x \to \infty} \frac{f(x)}{x^2}=1$? 4 Integral over null set is zero but integral of Dirac delta function is 1 4 find out the value of $\dfrac {x^2}{9}+\dfrac {y^2}{25}+\dfrac {z^2}{16}$

# 1,053 Reputation

 +25 Integral over null set is zero but integral of Dirac delta function is 1 +10 Is $(a_n)_n$ with $|a_{n+2}-a_{n+1}| ≤ q|a_{n+1}-a_n|$ a Cauchy sequence? +35 Calculus Complicated Substitution Derivative +10 If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$.

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# 28 Tags

 40 real-analysis × 12 9 analysis × 4 16 calculus × 5 9 integration × 3 14 derivatives × 2 9 limits 12 measure-theory × 4 7 sequences-and-series × 3 11 definition × 2 7 cauchy-sequences × 2

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