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I am studying it.

Up to now I read to page 35 and have found 3 errors.

Chapter 1 Mathematical Preliminaries

1.1 Infinite Series

More Sensitive Tests

Equation 1.15 (Page 8)

≤ is incorrect, < is correct.

Exercises 1.1.7 (Page 11)

It must be given to prerequisite that

*p*> 0 and

*q*> 0

1.3 Binomial Theorem

Equation 1.66 (Page 34)

**If**,

*n*>*m**m*(

*m*- 1)...(

*m*-

*n*+ 1) = 0

In other words, whether n → ∞ or not, the remainder is always 0.

Furthermore, the radius (interval) of convergence is not -1 <

*x*< 1.

Because

*m*(

*m*- 1)...(

*m*-

*n*+ 1) = 0, ratio test fail.

As far as either

*m*or

*x*does not approach infinity, the power series is convergent.