1 answer:
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Answer:
A.(2,3)
Step-by-step explanation:
The solution to the system of two equations and
is the ordered pair
which coordinates satisfy both equations.
Graphically, the solution to the system of two equations is the point of intersection of two lines which represent given equations.
The point of intersection of these graphed lines is closest to (2,3) (from the diagram), so correct option is A
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
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