CBSE Class 11 - Mathematics - Limits and Derivatives
Part-1 - Questions and Answers
Q1: Define Calculus.
Answer: Calculus is that branch of mathematics that mainly deals with the study of change in the value of a function as the points in the domain change.
👉Note: The chapter "Limits and Derivatives" is an introduction to Calculus.
👉Calculus is a Latin word meaning ‘pebble’. Ancient Romans used stones for counting.
Q2: Who are called pioneers of Calculus (who invented Calculus)?
Answer: Issac Newton (1642 - 1727) and G. W. Leibnitz(1646 - 1717).
Both of them were invented independently around the 17th century.
Q3: What is the meaning of 'x tends to a' or x → a?
Answer: When x tends to a (x → a), x is nearly close to a but never equals to a.
e.g. x → 3 means the value of x maybe 2.99 or 2.999 or 2.999...9 is very close to 3 but not exactly equal to 3. Similarly, x may be 3.01, 3.001, 3.0001... from the right side and gets closer to 3.