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Discuss the continuity of the cosine, co...

Discuss the continuity of the cosine, cosecant, secant and cotangent functions:
`f(x)= cot x = (1)/(tan x), x in R- {n pi, n in I}`

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The correct Answer is:
f(x) = cot x
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  2. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  3. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  4. Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","i...

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  5. Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),...

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  6. Examine the continuity of f, where f is defined by f(x)= {(sin x- cos ...

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

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

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

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

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  11. Find the values of a and b such that the function defined by f(x)= {(5...

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  12. Show that the function defined by f(x)= cos(x^(2)) is a continuous fun...

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  13. Show that the function defined by f(x)= |cos x| is a continuous functi...

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  14. Examine that sin |x| is a continuous function.

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  15. Find all the points of discontinuity of f defined by f(x) = |x| - |x+1...

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  16. Prove that the function f(x)= 5x- 3 is continuous at x=0, at x= -3 and...

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  17. Examine the continuity of the function f(x)= 2x^(2) -1 " at " x=3

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  18. Examine the following functions for continuity. f(x)= x-5

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  19. Examine the following functions for continuity. f(x)= (1)/(x-5), x ...

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  20. Examine the following functions for continuity. f(x)= (x^(2)-25)/(x+...

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