what is lim sinx as x approaches positive infinity?

Question

I am between two: The value 1 >=Sinx>= -1. But which one of them is my limit at X approaching infinity

Answer 1

Hm...... the sine wave...... values vary from -1 to 1.

Theres not really a limit for f(x) = sin x as x approaches infinity.

Answer 2

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RE:
what is lim sinx as x approaches positive infinity?
I am between two: The value 1 >=Sinx>= -1. But which one of them is my limit at X approaching infinity

Answer 3

sine x doesnt have a limit or it has an alternating limit depending on which math course you are in but most consider it not having a limit since sinx approaches -1 and 1

Answer 4

Lim Sin X

Answer 5

You take two sequences un and vn such as un=npi and vn=(2n+1)*pi/2, you know that the limit of a function is unique in continuous system, so in discret by a sequential interpretation, sin(un) goes to 0 when n goes to inf, and sin(vn) goes to 1 when n goes to inf, so you have to sequence which have the same limit in itself ( that to say inf ), which converge once put in sin toward two different limit, and by unicité of the limit, sin could not have a limit.

Answer 6

None of them. Because sin x graph is periodic and never stop unless the boundary values is given.

But it is sure that sin x approaches x when x approaches zero.

Answer 7

you are correct in saying that the y-values fluctuate between 1 and -1. however, there is no limit to what x can be. so there is no answer.

If it was sin(x)/x however, and you were finding it's limit, it would equal 1.

Answer 8

Hi Monk,

sin x has no limit.

I got this problem wrong freshman year in calculus, and have never forgotten :-)

REgards,
Chas.