Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 27 :  Taylor and Maclaurin series [Section 27.2]
  Further, the Taylor series of f at converges to if   
  .
27.2.4 Examples:
(i)
 As in example 27.2.2( ii ), for with ,
 

, for some between and .

For as is between and . For is monotonically
increasing, . They

Since,

For every x fixed, we have
.
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