Determine lim_{x->0+} sqrt(x)/x.

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Multiple Choice

Determine lim_{x->0+} sqrt(x)/x.

Explanation:
As x approaches 0 from the right, rewrite the expression for clarity: sqrt(x)/x = 1/sqrt(x). Since sqrt(x) goes to 0+ as x -> 0+, its reciprocal 1/sqrt(x) grows without bound. Because the denominator is getting smaller and positive, the whole fraction increases without limit. So the limit diverges to infinity.

As x approaches 0 from the right, rewrite the expression for clarity: sqrt(x)/x = 1/sqrt(x). Since sqrt(x) goes to 0+ as x -> 0+, its reciprocal 1/sqrt(x) grows without bound. Because the denominator is getting smaller and positive, the whole fraction increases without limit. So the limit diverges to infinity.

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