Find the complete set of values of lambd...

Find the complete set of values of `lambda`, for which the function `f(x) = {{:(x + 1, x lt 1),(lambda,x = 1),(x^(2) - x + 3,x gt 1):}` is strictly increasing at x = 1.

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The correct Answer is:

`lim_(x rarr 1^(-))(x + 1) le lambda le lim_(x rarr 1^(+))(x^(2) - x + 3) or 2 le lambda le 3`

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