Answer to Question #274768 in Calculus for teddy

Question

f lim f(x) = L1 as x approaches a from the left and lim f(x) = L2 as x approaches a from the right. lim f(x) as x approaches a exists only if L1 = L2. true or false

Answer 1

$L_1=\lim _{x \rightarrow a^-} f(x)$

$L_2=\lim _{x \rightarrow a^+} f(x)$

Limit exist only if $L_1=L_2$

Hence, the given statement is true.