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Express the following in summation (sigma) notation. 1 + x + x²/2 + x³/32 + x⁴/4 + ... + xⁿ/n(n-1)...

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User JoeAC
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1 Answer

6 votes

Final answer:

The given expression can be expressed in summation (sigma) notation as ∑(xⁿ/n(n-1)).

Step-by-step explanation:

The given expression:

1 + x + x²/2 + x³/32 + x⁴/4 + ... + xⁿ/n(n-1)

can be expressed in summation (sigma) notation as follows:

∑(xⁿ/n(n-1))

where n ranges from 1 to infinity.

In this notation, the symbol ∑ represents the summation of all terms, x represents the variable, and the expression xⁿ/n(n-1) represents each term in the series. The exponent n indicates the power of x, and n(n-1) represents the denominator of each term.

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User Wibbler
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