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

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The standard deviation of the data:

x: 1 a a2 .... an
f: nC0 nC1 nC2 .... nCn

is

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

\[\lim_{x \to 0} \frac{x\left( 2^x - 1 \right)}{1 - \cos x}\] 

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

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\[\lim_{x \to 0} \frac{\sqrt{1 + x} - 1}{\log \left( 1 + x \right)}\] 

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

\[\lim_{x \to 0} \frac{\log \left| 1 + x^3 \right|}{\sin^3 x}\] 

 

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

`\lim_{x \to \pi/2} \frac{a^\cot x - a^\cos x}{\cot x - \cos x}`

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

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

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

\[\lim_{x \to 5} \frac{e^x - e^5}{x - 5}\]

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

\[\lim_{x \to 0} \frac{e^{x + 2} - e^2}{x}\] 

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

`\lim_{x \to \pi/2} \frac{e^\cos x - 1}{\cos x}`

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

\[\lim_{x \to 0} \frac{e^{3 + x} - \sin x - e^3}{x}\] 

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

\[\lim_{x \to 0} \frac{e^x - x - 1}{2}\] 

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

\[\lim_{x \to 0} \frac{e^{3x} - e^{2x}}{x}\] 

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

`\lim_{x \to 0} \frac{e^\tan x - 1}{\tan x}`

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

\[\lim_{x \to 0} \frac{e^{bx} - e^{ax}}{x} \text{ where } 0 < a < b\] 

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

`\lim_{x \to 0} \frac{e^\tan x - 1}{x}`

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

`\lim_{x \to 0} \frac{e^x - e^\sin x}{x - \sin x}`

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

\[\lim_{x \to 0} \frac{3^{2 + x} - 9}{x}\]

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

\[\lim_{x \to 0} \frac{a^x - a^{- x}}{x}\]

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

\[\lim_{x \to 0} \frac{x\left( e^x - 1 \right)}{1 - \cos x}\]

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

\[\lim_{x \to \pi/2} \frac{2^{- \cos x} - 1}{x\left( x - \frac{\pi}{2} \right)}\]

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