left hand limit, right hand limit
- Condition 1: If f (x) is to be continuous at x = a then f (a) must be defined.
- Condition 2: If f(x) is to be continuous at x = a then limxa→f (x) must exist.
- Condition 3: If f(x) is to be continuous at x = a then limxa→f (x) = f (a).
if the function
`f(x)=k+x, for x<1`
`=4x+3, for x>=1`
id continuous at x=1 then k=
Examine continuity of the function f(x) at x = 0, where
`f(x) = (10^x + 7^x - 14^x - 5^x)/(1-cos 4x) , " for " x != 0`
`= 10/7 , " for" x = 0`