If f(x) = xⁿ, then the value of f(1) + f′(1)/1! + f″(1)/2! + f‴(1)/3! + … +…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

If f(x) = xⁿ, then the value of f(1) + f′(1)/1! + f″(1)/2! + f‴(1)/3! + … + fⁿ(1)/n! is:

  1. A.

    2⁻ⁿ

  2. B.

    2ⁿ⁻¹

  3. C.

    2ⁿ

  4. D.

    2ⁿ⁺¹

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