Calculate the sum of the infinite series

.

Step-by-step explanation:

The given infinite series is  .

The first term of this series is .

The common ratio is .

.

The sum of this infinite series is given by the formula,

We now substitute all the above values in to this formula obtain,

This implies that,

This simplifies to,

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The correct answer is C.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

2

step-by-step explanation: