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The sum of the series (a + b ) (a - b...

The sum of the series
` (a + b ) (a - b) + (a + b)(a-b)(a^(2) + b^(2))/(2!) + `
` (a+ b) (a-b)(a^(4)+b^(4) +a^(2) b^(2))/(3!) + …"to" oo` lt is equal to

A

`e^(a) +e^b`

B

`e^(a+b)`

C

`e^(a^2)-e^(b^3)`

D

`e^(a^2)-e^(b^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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