If the left and right limits at p exist but differ, then
Af is continuous at p
Bthe limit at p is their sum
Cthe limit equals f(p)
Dthere is no limit at p
Answer & Solution
Correct answer: D. there is no limit at p
A two-sided limit needs both one-sided limits to be equal, so unequal ones mean no limit.
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