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The points of discontinuity of the funct...

The points of discontinuity of the function `f(x)=(2x^(2)+7)/(x^(3)+3x^(2)-x-3)` are -

A

x = 1 only

B

x = 1 and x = -1 only

C

x = 1, x = -1, x = -3 only

D

x = 1, x = -1, x = -3 and other value of x

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The correct Answer is:
C
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TARGET PUBLICATION-CONTINUITY-Competitive Thinking
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  2. The function f(x) = |x| = (|x|)/x is

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  3. The points of discontinuity of the function f(x)=(2x^(2)+7)/(x^(3)+3x...

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  4. If f: R to R is defined by f(x) = {(x-1, ",","for"x le 1),(2-x^(2),...

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  7. If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ","...

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  8. Let f(x) = {((x^(3)+x^(2)-16x+20)/((x-2)^(2)), ",","if" x != 2),(k, ",...

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  11. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

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  12. If the function f9x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at ea...

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  13. The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, "...

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  14. The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),...

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  16. Let f(x) = {(-2sin x, ",","if" x le -(pi)/2),(A sin x + B, ",", "if"-(...

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  17. The value of p and q for which the function f(x) = {((sin(p+1)x+sinx...

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  18. Q. For every integer n, let an and bn be real numbers. Let function f:...

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  19. Let a function f: R to R, where R is the set of real nos. satisfying t...

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  20. The value of f(0) so that the function f(x) = (sqrt(1+x)-(1+x)^(1/3)...

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