a man was trying to swim to a buoy placed at a distance of 200m out in the sea. it took him 1 min to swim 20m. then a wave pushe
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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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It would take builders
days to complete the same house.
Builders are those person whose job is to build or repair houses and other buildings.
We have,
builders take
days to complete a house.
So,
builder will take
days to complete a house,
In the same way,
builder will take
days to complete a house,
i.e.
builder
days.
Hence, we can say that it would take builders
days to complete the same house.
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