April 2024
Intermediate to advanced
432 pages
16h 41m
English
Content preview from NTA CUET Mathematics With Fully Solved 2023 Papers by Pearson
f (a − h) = 
f (a + h) = Finite
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CHAPTER 2
Limits Continuity and Differentiability
CHAPTER AT A GLANCE
Definition: Limit of a function f(x) is said to exist, as x → a when,
f (a − h) = f (a + h) = Finite(Left hand limit) (Right hand limit)
Note that we are not interested in knowing about what happens at x = a. Also note that if L.H.L. and R.H.L. are both tending towards ‘ ∞’ or ‘−∞’, then it is said to be an infinite limit.
Remember, ‘x → a’ means that x is approaching to ‘a’ but not equal to ‘a’.
Fundamental Theorems on Limits
Let f (x) = and g (x) = m. If ℓ and
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