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Determine the value of k so that followi...

Determine the value of k so that following functions are continuous at `x = 0 `
`f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}`

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The correct Answer is:
`k = 2`
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
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  2. Discuss the continuity of the following functions f(x) = {{:(x + 2",...

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  3. Determine the value of k so that following functions are continuous at...

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  4. Determine, k if the following function is continuous at x = 0 f(x) =...

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  5. Differentiate the following w.r.t. x ((3x - 1)/(3x + 1))^2

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  6. Differentiate the following w.r.t. x log (x + sqrt(1 + x^2))

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  7. If y = sqrt(2^x+sqrt(2^x+sqrt(2^x+….......oo))), then prove that : (2y...

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  8. If y = sqrt(5^x+sqrt(5^x+sqrt(5^x+….......oo))), then prove that : (2y...

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  9. Differentiate the function w.r.t. x : sqrt ((x-1)(x-2))/((x-3)(x-4)(...

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  10. Differentiate the following w.r.t. x. (sin x)^(cos x) + (cos x)^(sin...

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  11. Differentiate the following w.r.t. x. (sin x)^(tan x) + (cos x)^(sec...

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  12. Differentiate cos^(-1)((1)/(sqrt(1 + x^2))) w.r.t.x.

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  13. Diferentiate tan^(-1)((x)/(sqrt(1 - x^2))) w.r.t.x.

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  14. If y = cos(2 cos^(-1)x), then prove that (1 - x^2)(d^2y)/(dx) -xdy/dx ...

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  15. If y = sin(2 cos^(-1)x), then prove that (1 - x^2)(d^2y)/(dx) -x dy/d...

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  16. Verify Rolle's theorem for the function : f(x) = (x+1)(x-4) in the int...

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  17. Verify Rolle's theorem for the following functions f(x)=(x + 2)(x-3)...

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  18. Verify Rolle's theorem for the following functions f(x) = (x+3)(x-6)...

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  19. Find the values of k so that the function f is continuous at the indic...

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  20. Find the values of k so that the function f is continuous at the indic...

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