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Find the points of discontinuity of the ...

Find the points of discontinuity of the function f, where
`f(x) = {{:(x + 2", if ",x ge 2),(x^(2) ", if",x lt 2):}`

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The correct Answer is:
continuous for all `x in RR`
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NCERT TAMIL-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Examine the continuity of the following : (sin x)/(x^(2))

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  2. Examine the continuity of the following : (x^(2) - 16)/(x+4)

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  3. Examine the continuity of the following : |x + 2| + |x-1|

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  4. Examine the continuity of the following : (|x-2|)/(|x+1|)

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  5. Examine the continuity of the following : cot x + tan x

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  6. Find the points of discontinuity of the function f, where f(x) = {{:...

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  7. Find the points of discontinuity of the function f, where f(x) = {{:...

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  8. Find the points of discontinuity of the function f, where f(x) = {{:...

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  9. Find the points of discontinuity of the function f, where f(x) = {{:...

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  10. At the given point x(0) discover whether the given function is contin...

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  11. At the given point x(0) discover whether the given function is contin...

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  12. Show that the function {{:((x^(3) - 1)/(x-1)", if ",x ne 1),(3", ...

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  13. Let f(x) = {{:(0", if ",x lt 0),(x^(2) ", if ",0 le x lt 2),(4", if ...

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  14. If f and g are continuous functions with f(3) = 5 and lim(x rarr 3)[2f...

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  15. Find the points at which f is discontinuous. At which of these points ...

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  16. Find the points at which f is discontinuous. At which of these points ...

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  17. A function f is defined as follows : f(x) = {{:(0,"for",x lt 0,),(x,...

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  18. Find the constant b that makes g continuous on (-oo, oo). g(x) = {{:...

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  19. Consider the function f(x) = x sin""(pi)/(x). What value must we give...

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  20. The function f(x) = (x^(2) - 1)/(x^(3) - 1) is not defined at x = 1. ...

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