Strengthen your students’ mastery of series and convergence with this comprehensive 50-question practice test designed for Calculus II and AP Calculus BC.
Every problem is carefully crafted to target the most important convergence skills—from classic p-series to more advanced nested logarithm integral tests. This resource is ideal for test prep, enrichment, review days, or as a challenging homework set for high-achieving learners.

What’s Included

✔ 50 high-level, exam-style questions
✔ Focused on convergence, divergence, and power series behavior
✔ Mix of problem types to reflect real Calculus II rigor
✔ Clean layout optimized for printing or digital annotation
✔ Perfectly paired with the matching Detailed Solutions document (sold separately or in bundle)

Topics Covered

Students will encounter problems involving:

• p-series & comparison testing
  
• Limit Comparison Test
  
• Ratio & Root Tests
  
• Alternating Series Test (absolute vs conditional convergence)
  
• Integral Test (including nested logs)
  
• Geometric and telescoping series
  
• Power series, radius of convergence, and interval testing
  
• Factorials, exponentials, and other non-standard terms requiring deeper reasoning
  

Who Is This Resource For?

• AP Calculus BC classes
  
• College Calculus II (Series & Power Series units)
  
• Honors or accelerated programs
  
• Teachers who want challenging, well-structured, ready-to-use practice
  

Why Teachers Love This Set

This document is clean, professionally formatted, and designed to save prep time while giving students the depth of practice they need to confidently tackle convergence problems on major exams. The questions are intentionally mixed so students cannot rely on guessing the test based on the position of the problem—true mastery only.