Question
Asked Sep 9, 2019
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Can you help me step by step with this problem?

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Expert Answer

Step 1

The given is:

lim 1cse (0))
x0
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lim 1cse (0)) x0

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Step 2

As per given information, we have to calculate the right-hand limit of function at x=0.So that to find the limit, follows the following steps:

lim (1+csc(0)
lim(1+csc(0+h))
lim (1+csc(h))
x-0
h0
h0
1
= lim|1+
sin (h
h0
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lim (1+csc(0) lim(1+csc(0+h)) lim (1+csc(h)) x-0 h0 h0 1 = lim|1+ sin (h h0

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Step 3

Now further so...

1
= lim 1+
h0
sin(h)
1
lim 1+lim
sinh
h0
1
= 1+
0
=1+o
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1 = lim 1+ h0 sin(h) 1 lim 1+lim sinh h0 1 = 1+ 0 =1+o

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Tagged in

Math

Calculus

Limits

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