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Write the first 6 terms of the exponenti...

Write the first 6 terms of the exponential series
`e^(1/2x)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `=1+5x+(25x^(2))/(2)+(125x^(3))/(6)+(625x^(4))/(24)+(625x^(5))/(24)+(3125x^(6))/(144)…..`
(ii) `=1-2x+2x^(2)-(4x^(3))/(3)+(2x^(4))/(3)-(4x^(5))/(15)+(4x^(6))/(45)-…..`
(iii) `=1+(x)/(2)+(x^(2))/(8)+(x^(3))/(48)+(x^(4))/(384)+(x^(5))/(3840)+....`
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