- #1

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**Zero x infinity = -1 ???!!!**

when two lines meet perpendicularly, we hv the formula v

m1 x m2 = -1

if a horinzontal line meet v a vertical line,by using same formula ,we hv

m1 x m2 = -1

zero x infinity = -1

so..does it make sense??!!

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- Thread starter bs
- Start date

- #1

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when two lines meet perpendicularly, we hv the formula v

m1 x m2 = -1

if a horinzontal line meet v a vertical line,by using same formula ,we hv

m1 x m2 = -1

zero x infinity = -1

so..does it make sense??!!

- #2

- #3

HallsofIvy

Science Advisor

Homework Helper

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No, "infinity" is not a real number. Saying that a vertical line has slope "infinity" is just a way of saying that a vertical line does not have a slope. (In fact, it would make just as much sense to say that a vertical line has slope "negative infinity".) There are a variety of numbers systems that include some notion of "infinity" but in those multiplication of a number by infinity is either not defined or gives something other than -1. I don't know of any number system that defines multiplication of zero by infinity to give -1.bs said:when two lines meet perpendicularly, we hv the formula v

m1 x m2 = -1

if a horinzontal line meet v a vertical line,by using same formula ,we hv

m1 x m2 = -1

zero x infinity = -1

so..does it make sense??!!

- #4

Alkatran

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1:

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x^2} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x^2} = 0

[/tex]

[tex]

0 * \infty = 0

[/tex]

2:

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x} = 1

[/tex]

[tex]

0 * \infty = 1

[/tex]

3:

[tex]

\lim_{x\rightarrow\infty} 2 * x * \frac{1}{x} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} 2 * x * \frac{1}{x} = 2

[/tex]

[tex]

0 * \infty = 2

[/tex]

- #5

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Alkatran said:

1:

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x^2} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x^2} = 0

[/tex]

[tex]

0 * \infty = 0

[/tex]

2:

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} x * \frac{1}{x} = 1

[/tex]

[tex]

0 * \infty = 1

[/tex]

3:

[tex]

\lim_{x\rightarrow\infty} 2 * x * \frac{1}{x} = 0 * \infty

[/tex]

[tex]

\lim_{x\rightarrow\infty} 2 * x * \frac{1}{x} = 2

[/tex]

[tex]

0 * \infty = 2

[/tex]

Amazing. Off the subject, but a comment nonetheless: Perhaps your examples demonstrates how "all things are possible"

- #6

Alkatran

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pallidin said:Amazing. Off the subject, but a comment nonetheless: Perhaps your examples demonstrates how "all things are possible"

No, it demonstrates how you can't multiply 0 by infinity and get an answer because its indeterminate (except for special cases with limits...)

- #7

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