Analysis & Approaches HL · Topic 5 · Calculus

IB Math AA HL Limits and Convergence Worksheet (questions only)

HL limits: evaluating limits algebraically, L'Hôpital's rule, continuity, and convergence of sequences and series.

29 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

29pages
120marks
3difficulty levels
Nosolutions included
T5Calculus

Download the AA HL Limits and Convergence worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL limits and convergence worksheet covers

HL limits: evaluating limits algebraically, L'Hôpital's rule, continuity, and convergence of sequences and series. The questions follow the order of the AA HL syllabus for Topic 5 (Calculus) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Limits by factorising and rationalising
L'Hôpital's rule for 0/0 and ∞/∞ forms
Continuity and differentiability at a point
Convergence tests and the limit of a sequence
Exam tip for this topic. State the indeterminate form before using L'Hôpital — using it when the form is not indeterminate gives a wrong answer and no marks.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Calculus

✓ = solutions included

Questions

Is this AA HL limits and convergence worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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