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Consider f(x)={(x^2/|x|, x ne 0),(0, x=0...

Consider `f(x)={(x^2/|x|, x ne 0),(0, x=0):}`

A

f(x) is discontinuous everywhere

B

f(x) is continuous everywhere

C

f(x) exists in (-1,1)

D

f(x) exists in (-2,2)

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The correct Answer is:
B
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  6. lim(x rarr 0) ((1+tan x)/(1-tan x))^(1/x) is

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  7. The value of lim(x rarr 0) (int0^(x^2)sec^2tdt)/(x sinx) is :

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  8. The value of lim(x rarr 0) |cosx + sinx|/x^2 is equal to

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  9. lim(x rarr infty)(root(2)(x^2 + 1)-root(3)(x^2 + 1))/(root(4)(x^2 + 1)...

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  10. The value of a, b and c such that lim(x rarr 0) (ae^x -b cosx + ce^(...

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  11. Let f(x) = lim(n rarr infty)(sinx)^(2n), then f is

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  13. Let f(x) = (x(1+a cosx) - b sinx)/x^2, x ne 0 and f(0) = 1

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  14. If x + |y| = 2y, then y as a function of x is :

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  15. Let [x] denotes the greatest integer less than or equal to x, If (x) =...

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  17. Which of the following functions are continuous on (0, pi):

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  18. If f(x) = "min"{1, x^2, x^3} then :

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