Mathematics

Mathematics

Problem

Which one of the following is the necessary and sufficient condition for the limit lim⁡x→af(x)\displaystyle \lim_{x\to a}f(x) to exist and equal LL? a) f(a)=Lf(a)=L b) Both lim⁡x→a−f(x)\displaystyle \lim_{x\to a^-}f(x) and lim⁡x→a+f(x)\displaystyle \lim_{x\to a^+}f(x) exist and are equal to LL c) Either lim⁡x→a−f(x)\displaystyle \lim_{x\to a^-}f(x) or lim⁡x→a+f(x)\displaystyle \lim_{x\to a^+}f(x) equals LL d) lim⁡x→a−f(x)=lim⁡x→a+f(x)\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)

Browse the problem library