Question
Asked Oct 30, 2019
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lo eTTIoprvars ruc,
-too 42 3r
(c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and use this to compute
V1+x2
lim
(You may not use L'Hôpital's rule)
3r -4
-(-2) (3r -2).
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lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and use this to compute V1+x2 lim (You may not use L'Hôpital's rule) 3r -4 -(-2) (3r -2).

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Expert Answer

Step 1

Given

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lim f(x) replace x by 1/x lim f(x) lim f x 1 Observe that if x0*. So, x lim f(x)imf x-0*

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Step 2

Now, using this concept ...

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lim replace x by 1/x 2 lim lim 1 x 1 = x, lim x0 = lim vx +1 x-0 = V0 +1 =1 - |H

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Tagged in

Math

Calculus

Limits