- #1

- 195

- 1

if lets say : F(x) = 0.5^x , 0 < 0.5 < 1

is lim(+infinte) f = 0 ?

....................................................................

this is for one of my math questions :

lim (+infinite) x^4 * 0.99^x = ?

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- Thread starter JPC
- Start date

- #1

- 195

- 1

if lets say : F(x) = 0.5^x , 0 < 0.5 < 1

is lim(+infinte) f = 0 ?

....................................................................

this is for one of my math questions :

lim (+infinite) x^4 * 0.99^x = ?

- #2

arildno

Science Advisor

Homework Helper

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And yes, we DO know that 0.5 lies between 0 and 1.

What is meant by infinite indice is beyond me.

- #3

- 1,056

- 0

- #4

- 195

- 1

lim (+infinite) x^4 * 0.99^x = 0

thanks

i just had a little dougth

BTW : arildno ;

- for the F and f problem

> i just made a caps mistake

- for the 0 < 0.5 < 1

> it was because the F(x) = 0.5^x was an example for any function F(x)= a^x, where a is a real number that respects (0 < a < 1)

- for "infinite indice"

> it was just to make short

- #5

HallsofIvy

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No, 0 is the greatest lower bound. 1/2 is the least upper bound.

- #6

HallsofIvy

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lim (+infinite) x^4 * 0.99^x = 0

thanks

i just had a little dougth

BTW : arildno ;

- for the F and f problem

> i just made a caps mistake

- for the 0 < 0.5 < 1

> it was because the F(x) = 0.5^x was an example for any function F(x)= a^x, where a is a real number that respects (0 < a < 1)

- for "infinite indice"

> it was just to make short

If you mean [itex]\lim_{x\right arrow +\infnty} x^4 * 0.99^x[/itex] then it is true that 0.99

It happens that the limit of x

If, as your use of "x" rather than "n" indicates, you intended this to be a continuous limit, then x is not an "index" at all. (There is no such word as "indice" in English. "Indices" is the plural of "index".

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