Continuity and Differentiability questions
732 published questions with worked solutions.
- If f(x) = ( ^2 x)^ ^2 x , for x 0 = k, for x = 0 is continious at x = 0, then k is
- If f(x) = (e^x - 1)^4 ( x^2 k^2 ) (1 + x^2 2 ) , for x 0 = 8, for x = 0 is continious at x = 0, then k is
- If f(x) = x^2 - 3x - 2 x - 3 , for 0 x 4, = x^2 + 1 x - 2 , for 4 < x 6, then f is
- If f(x) = 4^ 2x - 5^x 7x is continuous at x = 0 then the value of f(0) is
- If f(x) = 3^x + 3^ -x - 2 x^2 is continuous at x = 0 then the value of f(0) is
- If f is continuous at x = 0 where f(x) = 3 x - 2x 5x - 3 x , for x 0, then f(0) =
- If f is continuous at x = 0 where f(x) = ^2 x - ^2 x - 1 x^2 + 1 - 1 , for x 0, then f(0) =
- If f is continuous at x = 1 where f(x) = ( x 2 ) 1 - x , for x 1, then f(1) =
- If f(x) = 2 + x - 1 ( - x)^2 for x = k for x = , then the value of k is
- If f(x) = |x| x , for x 0 = 0, for x = 0, then f is
- If f is continuous at x = 1, where f(x) = 5x - 3k, for x 1 = 3x^2 - kx, for x > 1, then k is
- If f is continuous at x = 2, where f(x) = x^2 - 4 x - 2 + a, for x > 2 = 3, for x = 2 = 3x^2 + 5x + b, for x < 2, then a and b are
- If f is continuous at x = 0 and x = 1, where f(x) = x + a, for -2 x < 0 = 2x + 1, for 0 x < 1 = b - x, for 1 x < 2, then a and b...
- If f is continuous at x = 1 and x = 2, where f(x) = x + a, for x < 1 = 3x + b, for 1 x < 2 = x^2, for x 2, then a and b are
- If f is continuous at x = 0, where f(x) = cases ((a + 1)x) + x x , & x < 0 c, & x = 0 (x + bx^2)^ 1/2 - x^ 1/2 bx^ 3/2 , & x > 0...
- If f(x) = x^2 - x - 6 x^2 - 2x - 3 , for x 3 = a, for x = 3, then f has removable discontinuity at x = 3, if f(3) is
- If f(x) = x^2 + 1 x^2 - 4x + 3 in (-1, 2), then
- If f(x) = x + x x - x in (- 2 , 2 ) then
- If f(x) = x - a x - a is contanious at x = a, f(a) = k then the value of k is
- If f(x) is continuous at x = 6 , where f(x) = 2 - 3 x - x (6x - )^2 for x 6 = k for x = 6 , then the value of k is
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