Cal- continuity and differentiability

© 2009 -2011 tutorco.com 1 Q1. If the function f is defined by f(x) = (x10-a10)/(x7-a7), xa is continuous at x = a, then find f(a). A. 710a3 B. 711a C. 117a D. 107a3 Q2. A function f is defined by f(x) = 5x -4; x 1 = x2; 4 < x < 5 = -3x -4; 5 < x < 6 = x3; x 6, then A. limx->4+ f(x) = 4 B. limx->2-f(x) = 2 C. limx->1-f(x) = 0 D. limx->5-f(x) = 25 CALCULUS TOPIC: CONTINUITY AND DIFFERENTIABILITY Cal_1_Pre © 2009 -2011 tutorco.com 2 Q3. A function f is defined by f(x) = 4x, x < 0 = 0, x = 0 = 16x2, x > 0, then find limx->0 f(x). A. 1 B. 0 C. -1 D. None Q4. If f (x) = tan{[(11pi)/4]-x}/[cot2x] is continuous at x = pi/4, then f (11pi/4) = ? A. 1 B. 1/4 C. – 1/2 D. ½ © 2009 -2011 tutorco.com 3 Q5. If limx->a-f(x) = 8, limx->a g(x) = 0, limx->a-h(x) = 4 then find limx->a-[f(x)-g(x)+h(x)] A. 0 B. 12 C. -1 D. 8