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Asked Oct 11, 2019
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Hi, I need help explaining question #60, please. Thank you!

59-60 Determine whether f'(0) exists.
if x 0
sin
59. f(x)=
х
if x 0
o pgno 9W 6161
idess
60. f(x)=
xsin
if x 0
х
if x 0
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59-60 Determine whether f'(0) exists. if x 0 sin 59. f(x)= х if x 0 o pgno 9W 6161 idess 60. f(x)= xsin if x 0 х if x 0

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Expert Answer

Step 1

Consider the given function.

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1 sin f(x)

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Step 2

Formula used:

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(f (x-h)-(x) LHD = lim h0 h f (x +h)-5(x) RHD lim h h0

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Step 3

Now, calculate left h...

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(f(0-h)-5(0) LHD= lim h0 f(-h)-0 LHD lim h0 1 (-h) sin (-h) LHD=lim h+0 h -hsin - h0 LHD= lim =0 h

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Math

Calculus