find-the-value-of-for-which-f-x-2-x-if-x-lt-1-2-x-1-if-x-gt-1-has-a-limit-as-x-1-

Question Number 73561 by Rio Michael last updated on 13/Nov/19

f i n d t h e v a l u e o f λ f o r w h i c h

f : x \to {\begin{cases} 2 λ - x, i f x < 1 \\ λ^{2} + x - 1, i f x > 1 \end{cases}

h a s a l i m i t a s x \to 1

Answered by ajfour last updated on 13/Nov/19

2 λ - 1 = λ^{2}

λ = 1 .

Commented by Rio Michael last updated on 13/Nov/19

t h a n k s s i r