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Chapter 4: Q. 60 (page 327)

Given a simple proof that if n is a positive integer and c is any real number, then鈭�k=1nc=cn

Short Answer

Expert verified

We proved鈭�k=1nc=cn

Step by step solution

01

Given information

We are given a relation鈭�k=1nc=cn. We have to prove it

02

Proof

We have,

鈭�k=1nc=c+c+......+c(ntimes)=cn=RHS

Hence proved

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Most popular questions from this chapter

Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess and-check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating.鈭�x2-3x5-7dx

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