Continuity and Differentiability questions
732 published questions with worked solutions.
- If f(x) is continuous at x = 2 , where f(x) = 1 - x ( - 2x)^2 for x 2 f(x) = k for x = 2 , then the value of k is
- If f(x) is continuous at x = 6 , where f(x) = 1 - 3 x ( - 6x) for x 6 = k for x = 6 , then the value of k is
- If f(x) = x^2 - 9 x - 3 , for 0 x < 3 = 4x - 5, for 3 x 6, then
- If f is continuous in [0, 3], where f(x) = ax - b, for 0 x 1, = 3x, for 1 < x < 2, = bx^2 - a, for 2 x 3, then a and b are
- If f is continuous in [0, 6] where f(x) = x^2 + 2ax + b, for 0 x < 2 = 4x + 12, for 2 x 4 = 3ax + 10b, for 4 < x 6, then a + b is
- If f is continuous on [- , ], where f(x) = -2 x, - x - 2 = x + , - 2 < x < 2 = x, 2 x , then and are
- If f(x) is a continuous function satisfying f(x)f ( 1 x ) = f(x) + f ( 1 x ) and f(1) > 0, then _ x 1 f(x) is
- If y = 1 u^2 + u - 2 and u = 1 x - 1 , then y is discontinious only at x =
- If f(x) = 2 - x + 4 2x , for x 0 is continuous at x = 0, then f(0) is
- If f(x) = x^5 - 32 x - 2 , for x 2 = k, for x = 2 is continuous at x = 2, then k =
- The value of f(0) so that the function f(x) = 1 + x - (1 + x)^ 1 3 x becomes continious is equal to
- Let f(x) = 1 - 4x x^2 , for x < 0, = a, for x = 0, = x 16 + x - 4 , for x > 0 the value of a for which f(x) is continuous at x =...
- If f(x) = 5x x^2 + 2x , for x 0 = k + 1 2 , for x = 0 is continious at x = 0, then the value of k is
- If f(x) = 1 - x x , for x 0 = k, for x = 0 is continuous at x = 0, then k =
- If f(x) is continuous at x = 1, where f(x) = (1 - x) x 2 for x 0 = k, for x = 0 then the value of k is
- If f(x) is continuous at x = a, where f(x) = x - a x - a for x a = k for x = a, the value of k is
- If f(x) is continuous at x = a, there f(x) = x a - a x x - a for x a = k for x = a, then the value of k is
- If f(x) = 1 - 2(x - 1) x - 1 for x 1 and f(1) = k, then the value of k for which f is continuous at x = 1 is
- If f(x) is continuous at x = 0, where f(x) = 2x - cosec 2x x for x 0 = k for x = 0, then the value of k is
- If f is continuous at x = 0, where f(x) = 3 - 4 x + 2x x^4 for x 0 = k for x = 0, then the value of k is
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