#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# what is meant by contunity of functions

Jitender Singh IIT Delhi
7 years ago
Ans:
Continuity of a function at a given point means that it should exist at the given point & left hand limit & right hand limit should exist & equal to each other & function value at that point.
Mathematical Explanation:
Let a be point where we need to check the continuity & ‘f’ be the function.
$\lim_{x\rightarrow a}f(x)$
should exist
Left Hand Limit (LHL):
$LHL = \lim_{x\rightarrow a^{-}}f(x)$
Right Hand Limit (RHL):
$RHL = \lim_{x\rightarrow a^{+}}f(x)$
should exist.
Final condition for continuity of f at ‘a’:
$\lim_{x\rightarrow a^{-}}f(x) = \lim_{x\rightarrow a^{+}}f(x) = f(a)$
Thanks & Regards
Jitender Singh
IIT Delhi