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misogynisticfeminist
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This question popped up in my head. What is sin x when x tends to infinity? Since sine is a preiodic functions which repeats itself, is the answer 1, -1 or 0 or something else altogether?
dextercioby said:It looks good to me until [itex]\geq[/itex].
Daniel.
When x tends to infinity, it means that the value of x is increasing without bound. In other words, x is approaching a very large, infinite value.
No, there is no exact value for sin x when x tends to infinity because the sine function oscillates between -1 and 1 as x approaches infinity. This means that the value of sin x will not approach a specific number, but rather it will continue to oscillate infinitely.
As x tends to infinity, the value of sin x will oscillate between -1 and 1, getting closer and closer to 0. This is because the sine function is periodic and repeats itself every 2π, so as x increases without bound, the value of sin x will continue to oscillate between -1 and 1.
Yes, you can graph sin x when x tends to infinity by plotting the points of the sine function as x increases without bound. This will result in a wave-like graph that oscillates between -1 and 1 and gets closer and closer to 0 as x increases.
The concept of limits is used to describe the behavior of a function as its input approaches a certain value, in this case, infinity. As x tends to infinity, the limit of sin x is 0, which means that the value of sin x gets closer and closer to 0 as x increases without bound.