find-the-limit-of-f-x-1-x-x-lt-1-k-x-0-c-0-1-x-x-gt-0-

Question Number 27722 by NECx last updated on 13/Jan/18

f i n d t h e l i m i t o f

f (x) = {\begin{cases} 1 + x x < 1 \\ k x = 0 c = 0 \\ 1 + x, x > 0 \end{cases}

Answered by NECx last updated on 15/Jan/18

t h e l i m i t i s s a i d t o e x i s t i s t h e

L H L = R H L

L H L = \lim_{x \to 1^{-}} 1 + x = 1 + 1 = 2

R H L = \lim_{x \to 0^{+}} 1 + x = 1 + 0 = 1

∴ S i n c e t h e L H L \neq R H L, t h e n

t h e l i m i t d o e s n o t e x i s t

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