Top network posts

• 8 Why does the Mean Value Theorem require a closed interval for continuity and an open interval for differentiability?
• 7 Why does the temperature of an object rise to a certain level and stop under sunlight?
• 7 How do we prove $|\cos x-\cos y|\le|x-y|$ for all $x,y\in\mathbb{R}$?
• 6 How to find $\lim\limits_{x\to 2}f(x)$ if $\lim\limits_{x\to 2}\frac{f(x)-5}{x-2}=100$?
• 5 How to list all possible dimension of $\ker{T},\ker{T^2},...,\ker{T^{k-1}}$ and the corresponding canonical forms?
• 5 How to prove $\lim\limits_{x\to \infty}3x=\infty$?
• 5 How to evaluate $\lim\limits_{x\to 0}\frac{e^{\arctan{(x)}}-xe^{\pi x}-1}{(\ln{(1+x)})^2}$?
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