Write the value of b for which f(x) = {[5x-4,0<x≤1][4x^2+3bx,1<x<2] is continuous at x = 1. ​

Question

Write the value of b for which \(f(x) = \begin{cases}5x-4 ,&0< x ≤{1}\\ 4x^2+3bx, &1< x<{ 2} \end{cases} \) is continuous at x = 1.

Answer 1

Formula :- standard limit 

Formula :- 

(i) A function f(x) is said to be continuous at a point x = a of its domain, if
\(\lim\limits_{x \to a}f(x)\) = f(a)