# Limit, Continuity and Differentiability · Mathematics · NDA

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NDA Mathematics 21 April 2024
Consider the following statements :1. $f(x)$ is increasing in the interval $(e, \infty)$2. $f(x)$ is decreasing in the interval $(1, e)$3. $9 \ln 7 > ... NDA Mathematics 21 April 2024 What is$\lim\limits_{x \to 0-} h(x) + \lim\limits_{x \to 0+} h(x)$equal to? NDA Mathematics 3 September 2023 What is f(0.5) equal to ? NDA Mathematics 3 September 2023 What is$\displaystyle \lim _{x \rightarrow 1} \frac{f(x)-1}{g(x)}$equal to? NDA Mathematics 3 September 2023 What is$\displaystyle \lim _{x \rightarrow 1} f(x)^{\frac{1}{g(x)}}$equal to? NDA Mathematics 3 September 2023 What is$\displaystyle \lim _{x \rightarrow 0+}$h(x) equal to ? NDA Mathematics 3 September 2023 What is$\displaystyle \lim _{x \rightarrow 0-}$h(x) equal to ? NDA Mathematics 3 September 2023 What is the value of a ? NDA Mathematics 3 September 2023 What is the value of b? NDA Mathematics 3 September 2023 If the function f(x) is differentiable at x = 1, then what is the value of (a + b)? NDA Mathematics 3 September 2023 What is$\displaystyle \lim _{x \rightarrow 0} $f(x) equal to ? NDA Mathematics 16 April 2023 What is$\lim _{x \rightarrow 0} \frac{f(x)}{x}$equal to ? NDA Mathematics 16 April 2023 What is$\lim _{x \rightarrow 0} \frac{f(x)}{x^2}$equal to ? NDA Mathematics 16 April 2023 What is the value of p ? NDA Mathematics 16 April 2023 What is the value of q ? NDA Mathematics 16 April 2023 What is$\lim\limits_{x \rightarrow 5} \frac{5-x}{|x-5|}$equal to ? NDA Mathematics 16 April 2023 What is$\lim\limits_{x \rightarrow 1} \frac{x^9-1}{x^3-1}\$ equal to ?
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