Question
Asked Dec 14, 2019
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Find the following limit.
lim (5x)6x
X+0+
lim (5x)ôx
| (Type an exact answer.)
l
X-0+
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Find the following limit. lim (5x)6x X+0+ lim (5x)ôx | (Type an exact answer.) l X-0+

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Expert Answer

Step 1

Given:

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6x lim (5x)™

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Step 2

Calculation:

We have to simplify the function:

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бх (5x)* Applying exponent rule :(a ·b)" = a"b" %3D = 56x x6* бх бх = 15625* x6* Applying the limit of the simplified function: lim (15625*x** ) Using lim[ f (x)·g(x)]= lim ƒ (x)· lim g (x): lim (15625"x) = lim (15625"). lim (a* ..(1)

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Step 3
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First, lim (15625")= (15625°) =1...(2) Second, lim (x*) = lim (eim() =1.(3) ,6xIn(x)

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Tagged in

Math

Calculus

Limits