Proof Prove that if the limit of f ( x ) as x approaches c exists, then the limit must be unique. [ Hint: Let lim x → 0 f ( x ) = L 1 , and lim x → 0 f ( x ) = L 2 , and prove that L 1 = L 2 .]
Proof Prove that if the limit of f ( x ) as x approaches c exists, then the limit must be unique. [ Hint: Let lim x → 0 f ( x ) = L 1 , and lim x → 0 f ( x ) = L 2 , and prove that L 1 = L 2 .]
Solution Summary: The author explains that the limit of a function f(x) as x approaches c must be unique.
Proof Prove that if the limit of f(x) as x approaches c exists, then the limit must be unique. [Hint: Let
lim
x
→
0
f
(
x
)
=
L
1
, and
lim
x
→
0
f
(
x
)
=
L
2
, and prove that
L
1
=
L
2
.]
Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis
Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $13,000, r = 6%, t = 10, compounded quarterly
A = $ 31902
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TANAPCALC10 5.3.003.
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Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $140,000, r = 8%, t = 8, compounded monthly
A = $259130.20 X
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Find the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.)
(a) 2%/year compounded monthly
(b) 5%/year compounded daily
$
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[-/6.66 Points] DETAILS
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TANAPCALC10 5.3.009.
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PRACTICE ANC
Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.)
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