Question
Asked Oct 18, 2019
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lim of xx^(1/2) as x approaches 0+

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Expert Answer

Step 1

Given a function:

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To Find: the limit of the function as x approaches to 0+.

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Step 2

We begin with applying the limit.

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lim x* x 0+ The given limit is of the form f (x)9() which is 0°when we apply the limit. To solve we use the exponential function. Recall that ab eln(ab) eblna Similarly For the function of the form, f (x)g(x) can be written as lim f(x)g(x) lim eg(x)In (f(x) In(f (x) f(x) 1 lim In 1 g (x) g(x) lim e

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Step 3

Thus,

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n x lim x 0+ = e lim x* x0+ Now, we calculate the power of e, lim x 0+ 1 x2

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