Problem 1. Simplifya) In(e5) In(e6) In(e7) =b) 5l0gs 123algebraic expression for sin(cos (3)) =Your answers should not contain any trigonometric or inverse trigonometric function.- 1Problem 2. Find an0 forProblem 3. If possible, find values for a and c that make f continuous at r1sin (ax)if x

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Asked Oct 10, 2019
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Problem 3 please

Problem 1. Simplify
a) In(e5) In(e6) In(e7) =
b) 5l0gs 123
algebraic expression for sin(cos (3)) =
Your answers should not contain any trigonometric or inverse trigonometric function.
- 1
Problem 2. Find an
0 for
Problem 3. If possible, find values for a and c that make f continuous at r
1
sin (ax)
if x<0
2т
if 0
f(x) =
с
if 0 x
VI+4-2
Problem 4. Find the limit if it exists. If the limit does not exist, explain why it does not.
2+1
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Problem 1. Simplify a) In(e5) In(e6) In(e7) = b) 5l0gs 123 algebraic expression for sin(cos (3)) = Your answers should not contain any trigonometric or inverse trigonometric function. - 1 Problem 2. Find an 0 for Problem 3. If possible, find values for a and c that make f continuous at r 1 sin (ax) if x<0 2т if 0 f(x) = с if 0 x VI+4-2 Problem 4. Find the limit if it exists. If the limit does not exist, explain why it does not. 2+1

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Expert Answer

Step 1

Given:

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[sin (ax) ifx <0 2x f(x) ifx 0 x if 0 <x Vx+4-2

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Step 2

The function is continuous at x = 0 only when,

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f(o)s(o)(0)

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Step 3

Therefore...

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lim = C x0 Vx 4 2 xVx+4 2 lim x0 = C (Vx+4-2(x+4+ 2) xvx+4+2 lim = C x+0 x -(x+4+2)=c lim C x0 VO42 c c =4

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Tagged in

Math

Calculus

Continuity