Use Continuity to evaluate the limit of:

[dramaqueen101]

I don't even know where to begin! Please help!


5 + √x
------- as Limit approaches 4
√(5 + x)

 

[soroban]

Hello, dramaqueen101!

I don't even know where to begin! . Really?

\(\displaystyle \displaystyle \lim_{x\to4}\,\frac{5+\sqrt{x}}{\sqrt{5+x}}\)

How about finding the value when \(\displaystyle x\) equals 4?
. . Is that idea really that far out?