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Which of the following statements is true for the function f(x) = {x² + 3, x ≠ 0; 1, x = 0} ?
The number of points of discontinuity of f(x) = {|x|+3, if x ≤ –3; –2x, if –3 < x < 3; 6x+2, if x ≥ 3} is :
A function f(x) = |1 – x + |x|| is :
Find the value of a and b so that function f defined as : f(x) = {(x – 2)/(|x – 2|) + a, if x < 2; a + b, if x = 2; (x – 2)/(|x – 2|) + b, if x > 2} is a continuous function.
For what value of k, the function given below is continuous at x = 0? f(x) = {(√(4+x) – 2)/x, x ≠ 0; k, x = 0
Verify whether the function f defined by f(x) = {x sin(1/x), x ≠ 0; 0, x = 0} is continuous at x = 0 or not.
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