X + 58 = 6
x = 6 - 58
x = - 52
Additive Identity.
When a number (x) added to zero it will give the number itself as the result.
X + 0 = X
74 + 0 = 74
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑ 
We have to find the values of x for which the series converges.
We know,
∑
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
For more information about convergence of series, visit
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Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:

2) We multiply the numerator by 10 and find the tenth digit:

Then,

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

Then,
And the remainder is:


4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

Then,

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
Answer:
c^6
Step-by-step explanation:
So, c is the same as c^ 1 ... therefore
c^5 x c
= c^5 x c^1
When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1
So c^5 x c^1
= c^(5+1)
= c^6
This is the simplest form