Real Analysis lesson3(sem2) - INTRODUCTION TO ANALYSIS I MATH 278 \u2013 Lesson III Prof I K Dontwi Department of Mathematics Kwame Nkrumah University

# Real Analysis lesson3(sem2) - INTRODUCTION TO ANALYSIS...

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INTRODUCTION TO ANALYSIS I MATH 278 – Lesson III Prof. I. K. Dontwi Department of Mathematics Kwame Nkrumah University of Science and Technology Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 1 / 71
MATH 278 – Lesson III 2 / 71
Definition: Convergent Series Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 3 / 71
Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 4 / 71
Some Important Series’ Geometric Series Telescoping Series Harmonic Series Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 5 / 71
Geometric Series Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 6 / 71
Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 7 / 71
MATH 278 – Lesson III 8 / 71
Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 9 / 71
Example Determine whether the series converges, and if so find its sum a . X k =0 5 4 k b . X k =1 3 2 k 5 1 - k Prof. I. K. Dontwi (KNUST) MATH 278 – Lesson III 10 / 71