Listen NCERT Audio Books to boost your productivity and retention power by 2X.
In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :
at x = 1
Given:
f(x) is continuous at x = 1
If f(x) to be continuous at x = 1,then,f(1)–=f(1) + =f(1)
LHL = f(1)– =
4 ....(1)
RHL = f(1) + =
⇒ k(1–0)2
⇒ k ....(2)
Since, f(x) is continuous at x = 1 & also
from (1) & (2)
k = 4