## zmudz one year ago For what value $$k$$ is the following function continuous at $$x=2$$? $$f(x) = \begin{cases} \frac{\sqrt{2x+5}-\sqrt{x+7}}{x-2} & x \neq 2 \\ k & x = 2 \end{cases}$$

1. anonymous

You want to take the limit for the top part.

2. anonymous

You can find the limit for the top part by multiplying top and bottom by the conjugate:$\sqrt{2x+5}+\sqrt{x+7}$