Choose the correct alternative: The value of `lim_(x -> 0) sinx/sqrt(x^2)` is

Choose the correct alternative: The value of limx→0sinxx2 is - Mathematics

Choose the correct alternative:

The value of $lim_{x \to 0} \frac{\sin x}{\sqrt{x^{2}}}$ is

MCQ

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Concept of Limits

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अध्याय 9: Differential Calculus - Limits and Continuity - Exercise 9.6 [पृष्ठ १३१]

अध्याय 9 Differential Calculus - Limits and Continuity
Exercise 9.6 | Q 19 | पृष्ठ १३१

Evaluate the following limit:

$lim_{x \to 2} [\frac{x^{- 3} - 2^{- 3}}{x - 2}]$

Evaluate the following limit :

$lim_{y \to 1} [\frac{2 y - 2}{\sqrt[3]{7 + y} - 2}]$

Evaluate the following limit :

$lim_{x \to 7} [\frac{x^{3} - 343}{\sqrt{x} - \sqrt{7}}]$

Evaluate the following :

Given that 7x ≤ f(x) ≤ 3x² – 6 for all x. Determine the value of $lim_{x \to 3} f (x)$

Evaluate the following :

$lim_{x \to 0} [\frac{\sqrt{1 - \cos x}}{x}]$

Evaluate the following :

$lim_{x \to 1} [\frac{x + 3 x^{2} + 5 x^{3} + ... + (2 n - 1) x^{n} - n^{2}}{x - 1}]$

In problems 1 – 6, using the table estimate the value of the limit
$lim_{x \to 0} \frac{\sqrt{x + 3} - \sqrt{3}}{x}$

x	– 0.1	– 0.01	– 0.001	0.001	0.01	0.1
f(x)	0.2911	0.2891	0.2886	0.2886	0.2885	0.28631