Continuity and Differentiability questions
732 published questions with worked solutions.
- If f is continuous at x = 2 where f(x) = 1 - x ( - 2x)^2 , for x 2 , then f ( 2 ) =
- If f is continuous at x = 4 where f(x) = 1 - x 1 - 2 x , for x 4 , then f ( 4 ) =
- If f is continuous at x = 2 where f(x) = x 1 - x , for x 2 , then f ( 2 ) =
- If f is continuous at x = 1 where f(x) = ab^x - ba^x x - 1 for x 1 = k for x = 1, then the value of k
- If f is continuous at x = 0 where f(x) = e^ 6x - e^ 4x - e^ 2x + 1 1 - 4x for x 0 = k for x = 0, then the value of k is
- If f is continuous at x = 0, where f(x) = a^x - b^x 6x - 4x for x 0 = k, then the value of k is
- If f is continuous at x = where f(x) = ^2 x 1 + x , for x , then f( ) =
- If f is continuous at x = 0 where f(x) = 5^x + 6^x + 4^x - 3^ x+1 x , for x 0, then f(0) =
- If f is continuous at x = 2 where f(x) = 3^ x - 2 - 6^ x - 2 x , for x 2 , then f ( 2 ) =
- If f(x) = x 2x 3x 5x is continuous at x = 0 then f(0) is equal to
- If f(x) = 1 + x - 1 - x x is continuous at x = 0 then f(0) is equal to
- If f is continuous at x = 0 where f(x) = (1 + x^2) - (1 - x^2) x - x , for x 0, then f(0) =
- If f continuous at x = 0 where f(x) = (1 + x + x^2) + (1 - x + x^2) x , for x 0 then f(0) =
- If f(x) = x^2 - (a + 2)x + a x - 2 , for x 2 = 2, for x = 2 is continious at x = 2, then a is
- If f(x) = [4] x - [4] a [3] x - [3] a , for x a = 3 4 , for x = a is continuous at x = a, then a is
- If f(x) = x x (a^x - b^x)^2 is continuous at x = 0, then value of f(0) is
- If f(x) = e^x + e^ -x + 2 x - 4 x^2 is continuous at x = 0 then the value of f(0) is
- If f(x) = x ( 1 x ), for x 0 = k, for x = 0 is continuous at x = 0, then k is
- If f(x) = k x - 2x , for x 2 = 3, for x = 2 is continious at x = 2 , then k is
- If f(x) = (1 + cx)^ 1/x , for x 0 = e^5, for x = 0 is continious at x = 0, then c is
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