What is the sine of infinity?

What is the sine of infinity?

Sin and cos infinity is just a finite value between 1 to -1. But the exact value one can’t say. Whatever you place in the function of sinus and cosine……they only lie between -1 to 1…… infinity will create anything between them.

Can you take the sine of infinity?

infinity may yield anything between them. If you draw a sine wave , you see that it oscillates ( goes up and down ) in value between 1 and -1. So, one can’t say that sine of infinity is any particular number.

What is the formula of infinite sequence?

An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+… , where a1 is the first term and r is the common ratio.

What is an infinite sequence?

An infinite sequence is an endless progression of discrete objects, especially numbers. A sequence has a clear starting point and is written in a definite order. An infinite sequence may include all the numbers of a particular set, such as all positive integers {1, 2, 3, 4 …}.

Does sine have a limit?

Since sin(x) is always somewhere in the range of -1 and 1, we can set g(x) equal to -1/x and h(x) equal to 1/x. We know that the limit of both -1/x and 1/x as x approaches either positive or negative infinity is zero, therefore the limit of sin(x)/x as x approaches either positive or negative infinity is zero.

What symbol does infinite sequence have?

∞
The infinity symbol, ∞ , is often used as the superscript to represent the sequence that includes all integer k -values starting with a certain one.

How to use infinite series for sine and cosine?

This feature is not available right now. Please try again later. Using the infinite series for sine, cosine, and e^x to derive Euler’s Formula: e^ (i*x)=cos (x) + i*sin (x). This is one of the coolest early applications of infinite series, I think.

Is there a limit to the sine of Infinity?

What is oscilatting between 1 and −1 is the sine (and the cosine). It follows from this that the limit cannot exist. It’s even worst with the tangent function: it keeps oscilatting between −∞ and +∞. The conclusion is the same, of course: limx→±∞tanx does not exist.

Which is the formula for the infinite series?

Sk = k k + 1. Since k / (k + 1) → 1, we conclude that the sequence of partial sums converges, and therefore the infinite series converges to 1. We have ∞ ∑ n = 1 1 n(n + 1) = 1. Determine whether the series ∞ ∑ n = 1n + 1 n converges or diverges.

When does the infinite series converge to 1?

Since k / (k + 1) → 1, we conclude that the sequence of partial sums converges, and therefore the infinite series converges to 1. We have ∞ ∑ n = 1 1 n(n + 1) = 1. Determine whether the series ∞ ∑ n = 1n + 1 n converges or diverges.