JEE · Maths · Limits & Continuity doubts
12 doubts found
What does “Limit” actually mean in Limits & Continuity, and why does it matter for JEE?
the value a function approaches as the input nears a point, even if it isn't defined there.
I keep getting “Limit” questions wrong in Limits & Continuity. What's the trap?
assuming the limit always equals the function's value at that point.
What does “Continuity” actually mean in Limits & Continuity, and why does it matter for JEE?
a function is continuous at a point if its limit there equals its actual value (no breaks or jumps).
I keep getting “Continuity” questions wrong in Limits & Continuity. What's the trap?
thinking every function is continuous everywhere.
What does “Standard limit” actually mean in Limits & Continuity, and why does it matter for JEE?
lim(x→0) sin x / x = 1 is a key result used everywhere.
I keep getting “Standard limit” questions wrong in Limits & Continuity. What's the trap?
evaluating it as 0/0 and stopping.
What is the difference between limit and value of a function?
The limit is what f(x) approaches near a point; the value is what f actually equals there — they can differ at a discontinuity.
What is the difference between continuous function and discontinuous function?
A continuous function has no breaks (limit = value everywhere); a discontinuous one has jumps, holes, or asymptotes.
When do I use lim(x→0) sin x / x = 1 in Limits & Continuity, and what does it mean?
a fundamental trigonometric limit.
How is Limits & Continuity tested in JEE, and what should I focus on?
Prioritise the core ideas: Limit, Continuity, Standard limit.
What are the most common mistakes students make in Limits & Continuity?
that's only true when f is continuous at a; limits can exist where the function is undefined.
How do I revise Limits & Continuity quickly before the exam?
One-page summary of Limit, Continuity, Standard limit, then timed previous-year questions.