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Math Help
#1
Does anyone know how to solve this problem? (attached)


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.pdf   problem.pdf (Size: 80.99 KB / Downloads: 13)
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#2
(06-20-2019, 10:04 PM)Giantzebra Wrote: Does anyone know how to solve this problem? (attached)

The answer is "e", infinity. As x approaches 2, f(x) approaches -1. That causes the denominator to approach 0, which causes the function as a whole to approach infinity.
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#3
So because the denominator approaches zero the function approaches infinity?
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#4
(06-21-2019, 08:44 AM)Giantzebra Wrote: So because the denominator approaches zero the function approaches infinity?

Yes. As the denominator gets smaller, the function as a whole keeps getting larger. 

1/1 = 1
1/0.01=100
1/0.00000000001 = 100000000000

It really doesn't matter what the numerator is so long as it's a real number.
NanoDegree: Intro to Self-Driving Cars (2019)
Coursera: Stanford Machine Learning (2019)
TESU: BA in Comp Sci (2016)
TECEP:Env Ethics (2015); TESU PLA:Software Eng, Computer Arch, C++, Advanced C++, Data Struct (2015); TESU Courses:Capstone, Database Mngmnt Sys, Op Sys, Artificial Intel, Discrete Math, Intro to Portfolio Dev, Intro PLA (2014-16); DSST:Anthro, Pers Fin, Astronomy (2014); CLEP:Intro to Soc (2014); Saylor.org:Intro to Computers (2014); CC: 69 units (1980-88)

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#5
(06-21-2019, 08:52 AM)davewill Wrote:
(06-21-2019, 08:44 AM)Giantzebra Wrote: So because the denominator approaches zero the function approaches infinity?

Yes. As the denominator gets smaller, the function as a whole keeps getting larger. 

1/1 = 1
1/0.01=100
1/0.00000000001 = 100000000000

It really doesn't matter what the numerator is so long as it's a real number.
Does this mean that the answer would be infinity for any sine function?
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#6
(06-22-2019, 11:28 PM)Giantzebra Wrote:
(06-21-2019, 08:52 AM)davewill Wrote:
(06-21-2019, 08:44 AM)Giantzebra Wrote: So because the denominator approaches zero the function approaches infinity?

Yes. As the denominator gets smaller, the function as a whole keeps getting larger. 

1/1 = 1
1/0.01=100
1/0.00000000001 = 100000000000

It really doesn't matter what the numerator is so long as it's a real number.
Does this mean that the answer would be infinity for any sine function?

Oh man, I haven't done this in awhile.

The graph shows that the limit as x approaches 2 should be -1, but it states that x / ( f(x) + 1) ). So, it would end up being 2 / ( -1 + 1 ) which is 2/0. 2 cannot be divided by 0 because it is not possible. Therefore, shouldn't the limit be undefined.

EDIT: Oh wait nevermind. You are suppose to fill in numbers close to that value to see where it would end up, hence being infinity.

I'm confused by the question "Does this mean that the answer would be infinity for any sine function?", but I think it would depend on what x is approaching for that particular expression.
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#7
(06-22-2019, 11:28 PM)Giantzebra Wrote: Does this mean that the answer would be infinity for any sine function?

No. You have analyze the particular function and limit to figure out the answer. A different function or different limit would have different answer.
NanoDegree: Intro to Self-Driving Cars (2019)
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TESU: BA in Comp Sci (2016)
TECEP:Env Ethics (2015); TESU PLA:Software Eng, Computer Arch, C++, Advanced C++, Data Struct (2015); TESU Courses:Capstone, Database Mngmnt Sys, Op Sys, Artificial Intel, Discrete Math, Intro to Portfolio Dev, Intro PLA (2014-16); DSST:Anthro, Pers Fin, Astronomy (2014); CLEP:Intro to Soc (2014); Saylor.org:Intro to Computers (2014); CC: 69 units (1980-88)

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#8
How do you deal with this problem? (attached)


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.docx   math.docx (Size: 192.24 KB / Downloads: 6)
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#9
All I see in the document is a function. What is the question asking you to do?
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#10
I'm guessing you are trying to find the derivative.
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BU:         MS in Software Development (4/32 SH - 1 Course IP) | GPA: 3.70

TESU:       BA in Liberal Studies | AS in Natural Science and Mathematics (Computer Science, Mathematics) | Cert in Electronics |
            3 SH GPA: 4.00 | Golden Key International Honor Society
EC:         AAS in Technical Studies (Electronic/Instrumentation Technologies) High Honors GPA: 3.79 |
            18 SH GPA: 4.00
CCP:        AAS in Applied Science and Engineering Technology (Graduation DEC2019) Highest Honors GPA: 3.91 | AAS in Technical Studies (Computer Technology) |
            65 SH GPA: 3.91 | Phi Theta Kappa Honor Society

TU:         12 SH GPA: 3.91
CTC:        3 SH GPA: 4.00
CHC:        19 SH
SDCC:       1 SH

CLEP:       Analyzing & Interpreting Literature-60; College Composition Modular-57;
            Information Systems & Computer Applications-53; College Mathematics-50;
            Principles of Marketing-55
DSST:       Introduction to Computing-423; Principles of Supervision-410;
            Introduction to Business-415; Technical Writing-51
Study:      21 SH
Institute:  2 SH
TEEX:       4 SH
Sophia:     2 SH
USN:        88 LL/18 UL (JST ACE Evaluation - ET2)
Certs:      Computer Operator (USMAP) | ICDL_US
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