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Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

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\[\lim_{x \to 0} \left( \cos x \right)^{1/\sin x}\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to 0} \left( \cos x + \sin x \right)^{1/x}\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

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\[\lim_{x \to 0} \left( \cos x + a \sin bx \right)^{1/x}\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

If two variates X and Y are connected by the relation \[Y = \frac{a X + b}{c}\] , where abc are constants such that ac < 0, then

 
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0} \frac{\sqrt{1 - \cos 2x}}{x} .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0^-} \left[ x \right] .\]

 
[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0^+} \left[ x \right] .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 1^-} x - \left[ x \right] .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to 0^-} \frac{\sin \left[ x \right]}{\left[ x \right]} .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to \pi} \frac{\sin x}{x - \pi} .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to \infty} \frac{\sin x}{x} .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to \infty} \left\{ \frac{3 x^2 + 1}{4 x^2 - 1} \right\}^\frac{x^3}{1 + x}\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to 0} \frac{\sqrt{1 - \cos 2x}}{x} .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0^-} \left[ x \right] .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0^+} \left[ x \right] .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 1^-} x - \left[ x \right] .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 0^-} \frac{\sin \left[ x \right]}{\left[ x \right]} .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to \pi} \frac{\sin x}{x - \pi} .\]

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

\[\lim_{x \to \infty} \frac{\sin x}{x} .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Write the value of \[\lim_{x \to 2} \frac{\left| x - 2 \right|}{x - 2} .\] 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined
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