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Find the value of the constant k so ...

Find the value of the constant `k` so that the given function is continuous at the indicated point: `f(x)={{:((x-1)tan((pix)/2),\ \ \ if\ x!=1),(k ,\ \ \ if\ x=1):}` at `x=1`

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  8. Find the value of the constant k so that the given function is c...

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  11. Find the values of a and b so that the function f given by f(x)={1, if...

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  12. If f(x)={(x^2)/2, if 0<=x<1, 2x^2-3x+3/2, if1 <=x<=2 .Show that fis ...

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  13. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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  14. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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  15. Prove that f(x)={((x-|x|)/x, x!=0),( 2 , x=0):} is discontinuous at ...

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  16. If f(x)={2x^2+k\ \ \ \ ,\ \ \ \ if\ xgeq0 \ \ \ \ \ \ \ \ \ \ \...

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  17. For what value of lambda is the function f(x)={lambda(x^2-2x)\ \ \ \ ,...

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  18. For what value of k is the following function continuous at x=2 ? f(...

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  19. Let f(x)={(1-sin^3x)/(3cos^2x) if x< pi/2, a if x=pi/2 . If f(x) ...

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  20. If the functions f(x) , defined below is continuous at x=0 , find th...

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