Answer:
Step-by-step explanation:
Check attachment for solution.
Let assume n = k, it does not change anything
Given the series
Σ(-1)ⁿ / (2n+1)ⁿ from n=1 to n= infinity
We can express the series as the sum of partial sums and infinite remainder
S = Sn + Rn
The partial sum is already set to the 3rd terms since the upper bound is given to be 3
So, the error should be from the 4th term to infinity.
NOTE: the error is dominated by the first term of the error. The first term of the error is the fourth term.
Therefore,
The error bound = the value of the fourth term
So, when n = 4
Rn = (-1)ⁿ / (2n + 1)³
R4 = (-1)⁴ / (2•4 + 1)³
R4 = 1 / (8 + 1)³
R4 = 1 / 9³
Rn = 1 / 729
The error bound is positive
Square numbers are numbers that have square roots that are whole numbers. In other words, when you take a whole number and multiply it by itself, you get a square number. For instance, if we take 5 and multiply it by itself, we get 25. 25 is an example of a square number.
A square root is the opposite. When you have a square number, you take the square root to find which number multiplied by itself gives you that number. That is it's square root. For instance, if we want the square root of 36, we look for a number that when multiplied by itself gives us 36. 6 would be the answer.
I think there's something missing.
Like i told u earleir explain more
2/3 or 0.6 repeating is the answer