TAYLOR'S THEOREM | ERROR IN APPROXIMATING FUNCTION BY POLYNOMIAL | REAL ANALYSIS | BARTLE & SHERBERT

Taylor's Theorem with Lagrange form of Remainder
Taylor's Theorem with Cauchy form of Remainder
Taylor's Theorem with Remainder due to Schlomilch & Roche
Taylor's theorem is a very useful technique in the analysis of real functions is the approximation of functions by polynomials.
Error in approximating an (n+1)-times differentiable function by a polynomial of degree n in neighborhood of some point.
Taylor's Theorem can be regarded as an extension of the Mean Value Theorem to "higher order" derivatives. Whereas the Mean Value Theorem relates the values of a function and its first derivative, Taylor's Theorem provides a relation between the values of a function and its higher order derivatives.
BOOK : INTRODUCTION TO REAL ANALYSIS
AUTHOR : BARTLE & SHERBERT
Theory of Real Functions
Bartle & Sherbert
Real Analysis
B.SC (H) Mathematics Sem III
University of Delhi
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[@mathmagician4511]

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[@hockeywiz7136]

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[@hockeywiz7136]

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[@deepashachhabramath2085]

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[@surbhigari6379]

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