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Show that the function f(x)={:{(x + lamb...

Show that the function `f(x)={:{(x + lambda, x lt1), (lamdax^(2)+1, x ge1):}`
is a continuous function, regardless of the choice of ` lambda in R `

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To show that the function \[ f(x) = \begin{cases} x + \lambda & \text{if } x < 1 \\ \lambda x^2 + 1 & \text{if } x \geq 1 \end{cases} ...
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