find the limit of f(x)= { ((1+x x<1)),((k x=0 c=0)),((1+x , x>0)) :}


Question and Answers Forum

All Questions Topic List
Limits Questions
Previous in All Question Next in All Question
Previous in Limits Next in Limits
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

	$t h e l i m i t i s s a i d t o e x i s t i s t h e$ $L H L = R H L$ $L H L = \lim_{x \to 1^{-}} 1 + x = 1 + 1 = 2$ $R H L = \lim_{x \to 0^{+}} 1 + x = 1 + 0 = 1$ $∴ S i n c e t h e L H L \neq R H L, t h e n$ $t h e l i m i t d o e s n o t e x i s t$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum