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What is lim_(x-> 0)(sqrt(x+5) - sqrt 5)/x

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The limit `lim_(x-> 0)(sqrt(x+5) - sqrt 5)/x` has to be determined.

There are two ways of doing this.

For x = 0, `(sqrt(x+5) - sqrt 5) = (sqrt 5 - sqrt 5) = 0` , this makes the expression `(sqrt(x+5) - sqrt 5)/x = 0/0` which is indeterminate. l'Hospital's rule can be used now and the...

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