Summation of Series

Worked examples (6)

• 1Limit of a simple closed form
• 2Limit of a single rational form
• 3Sum to infinity from a telescoped result
• 4Limit with two vanishing terms (gap-2)
• 5Commenting on a divergent series
• 6Differences then limit — the full chain

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Summing a linear term with the standard results
• 2Summing a quadratic term
• 3A first telescoping sum
• 4Express in partial fractions, then telescope
• 5A three-factor denominator (gap-2 telescoping)
• 6A two-apart cancellation

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6