IIT-JEE · Class 12 · Mathematics

Limits

Limits

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Limit of a Function

  • neighbourhood of a real number
  • limiting value of a function
  • existence of a limit at a point

Rules to Find Limits

  • algebra of limits
  • direct substitution
  • sandwich rule

Indeterminate Forms

  • indeterminate forms
  • rationalization method
  • limits at infinity
  • standard formulae for limits

Special Methods

  • limits using expansion
  • trigonometric limits
  • exponential and logarithmic limits
  • limit of the form 1 to the power infinity

L'Hospital's Rule

  • L'Hospital's rule
  • indeterminate forms 0 to the power 0 and infinity to the power 0

The session

You don’t have to just listen.

You

“Sir, I don’t understand why we used this equation here.”

Sir

“Let’s go back one step. Look at what’s rotating.”

Ask your question. Stop the teacher. Ask them to explain it another way.

16 subtopics
The whole chapter: all five parts listed above.
Taught live, not recorded.

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Why this works

A teacher who doesn’t fully own a chapter teaches it half-convincingly, and you absorb the hesitation.

Learn it from someone who owns it, and you absorb their certainty instead.

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