Continuity and Differentiability questions
732 published questions with worked solutions.
- If f(x) is continuous at x = 0, where f(x) = x - 1 x^2( x + 1)^2 for x 0 = k for x = 0, then the value of k is
- If f(x) is continuous at x = 0, where f(x) = x - x x^3 for x 0 = k for x = 0, then the value of k is
- If f(x) is continuous at x = 0, where f(x) = x - x x^3 for x 0 = k for x = 0, then the value of k is
- If f(x) is continuous at x = 0, where f(x) = 2 [ 3 ( 6 + x ) - ( 6 + x ) ] 3 x( 3 x - x) for x 0 = k then the value of k is
- If f(x) is continuous at x = 0 where f(x) = 2 x - 2x x^3 for x 0 = k for x = 0, then the value of k is
- If f(x) is continuous at x = 0, where f(x) = 5 x - 7 2x + 3 3x x^2 x for x 0 = k for x = 0, then the value of k is
- If f(x) = cases x^2, & x 0 ax + b, & x > 0 cases is a continuous function, then:
- If f(x) = 3x + x x is continuous at x = 0, then f(0) equals
- If f(x) = cases x^2 + k, & x 0 -x^2 - k, & x < 0 cases is continuous at x = 0 then k is equal to
- If f(x) = cases 2, & 0 x < 1 c - 2x, & 1 x 2 cases is continuous at x = 1, then c equals
- If f(x) = cases 1 2 x^2, & x 0 0, & x = 0 cases , then
- If f(x) = x + 3 - 2 x^3 - 1 for x 1 is continuous at x = 1, then f(1) is
- If f(x) = cases x x + x, & x 0 2, & x = 0 cases , then
- The function y = 3 x - |x - 1| is continuous at
- If f(x) = cases x^2 1 x , & when x 0 0, & when x = 0 cases , then
- If function f(x) = cases x^2 - 1 x - 1 , & when x 1 k, & when x = 1 cases is continuous at x = 1, then the value of k will be
- If f(x) = cases 3x x , & x 0 [1mm] k 2 , & x = 0 cases is continuous at x = 0, then the value of k is:
- If f(x) = cases 2x + 5, & x > 1 k, & x = 1 8x - 1, & x < 1 cases , is continuous at x = 1, then the value of k is
- Find the value k, so that f(x) is continuous at x = 2: f(x) = cases kx - 1, & when x < 2 x + 1, & when x > 2 3, & when x = 2 cases
- f(x) = cases x^2 - 4 x - 2 + a, & for x < 2 8, & for x = 2 x + b + 4, & for x > 2 cases is continuous at x = 2, then the value of...
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