Home › TS EAPCET (Engineering) › Mathematics › Limits › Which definition was introduced to formalise con…
Which definition was introduced to formalise continuity?
AMean value
BEpsilon–delta
CChain rule
DNewton quotient
Answer & Solution
Correct answer: B. Epsilon–delta
The epsilon-delta definition of a limit gave continuity a rigorous form.
Related questions
A continuous function on a closed interval [a, b] attains a maximum by theBy the squeeze theorem, the limit of x^2 cos(1/x) as x tends to 0 isIf f(x) = 2x + 1 for x < 1 and f(x) = ax + 2 for x at least 1 is continuous, a equalsf(x) = x sin(1/x) for x not 0 is made continuous at 0 by setting f(0) tof(x) = |x| is continuous at 0 but at 0 it isEvery differentiable function at a point is alsoA function is right-continuous at c if no jump occurs when x approaches c from theThe IVT guarantees that x^3 - x - 1 = 0 has a root in the interval