# How do you find #lim sqrtx/(x-1)# as #x->1^+# using l'Hospital's Rule or otherwise?

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The limit of (\frac{\sqrt{x}}{x-1}) as (x) approaches (1) from the right ((1^+)) is (\infty).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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