The standard limit of sin(x)/x as x approaches 0 equals
AOne
BZero
CInfinite
DUndefined
Answer & Solution
Correct answer: A. One
For small angles in radians sin x is nearly x, so the ratio tends to 1.
Keep practising Sets, Relations and Functions
Browse all Sets, Relations and Functions questions for CA Foundation, or explore more Quantitative Aptitude topics.
Related questions
As x grows large, (4x^3 + x)/(2x^3 - 7) tends toThe limit of (sqrt(x) - 2)/(x - 4) as x approaches 4 isAs x tends to infinity, (3x^2 - 5)/(6x^2 + x) approachesFor f(x) = |x|, the left limit, right limit and f(0) at x = 0 are allA function is continuous at c if the limit of f(x) as x tends to c equalsLet f(x) = x^2 for x < 1 and f(x) = 2x - 1 for x >= 1. At x = 1, f isf(x) = kx + 1 for x <= 2 and f(x) = 3 for x > 2 is continuous at 2 when k isLet f(x) = (x^2 - 9)/(x - 3) for x not equal to 3. For f to be continuous at 3, f(3) must