zmudz
  • zmudz
For what value \(k\) is the following function continuous at \(x=2\)? \(f(x) = \begin{cases} \frac{\sqrt{2x+5}-\sqrt{x+7}}{x-2} & x \neq 2 \\ k & x = 2 \end{cases}\)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ali2x2
  • ali2x2
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anonymous
  • anonymous
You could approach this using limits, or you could 1) Evaluate f(x) for x just larger than 2, say 2.001 2) Evaluate f(x) for x just less than 2, say 1.999 3) Choose the value between these two.
anonymous
  • anonymous
You might even be able to graph the function and determine the limit at x=2.

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ali2x2
  • ali2x2
ospreytriple makes me look like dirt >:o
ali2x2
  • ali2x2
:P
ali2x2
  • ali2x2
nahhhh

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