MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 10

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If $f (x) = \{\begin{matrix} \frac{\sin 2 x}{5 x}; when x \neq 0 \\ k; when x = 0 \end{matrix}$ is continuous at $x = 0$ , then the value of $k$ will be

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Important Questions on Continuity

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 11

If

f (x) = \{\begin{cases} \frac{3 \sin π x}{5 x}, & x \neq 0 \\ 2 k, & x = 0 \end{cases}

is continuous at

x = 0

, then the value of

k

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 12

If

f (x) = |x - 2|

, then

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 13

If

f (x) = |x - b|

, then function

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 14

If

f (x) = \{\begin{matrix} 1; when 0 < x \leq \frac{3 π}{4} \\ 2 \sin \frac{2}{9} x; when \frac{3 π}{4} < x < π \end{matrix}

, then

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 15

If

f (x) = \{\begin{matrix} \frac{1 - \cos x}{x}, x \neq 0 \\ k, x = 0 \end{matrix}

is continuous at

x = 0

, then

k =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 16

If the function

f (x) = \{\begin{array}{r} {(\cos x)}^{\frac{1}{x}}; x \neq 0 \\ k; x = 0 \end{array}

is continuous at

x = 0

, then the value of

k

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 17

If

f (x) = \{\begin{matrix} \frac{\log_{e} x}{x - 1}, x \neq 1 \\ k, x = 1 \end{matrix}

is continuous at

x = 1

, then the value of

k

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Continuity>Competitive Thinking>Q 18

The function

f (x) = \frac{1 - \sin x + \cos x}{1 + \sin x + \cos x}

is not defined at

x = π

. The value of

f (π)

, so that

f (x)

is continuous at

x = π

, is