Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Limit and Continuity Continuity of a function
Consider the function \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{\rm{ax}} - 2{\rm{\;\;for\;}} - 2 < {\rm{x}} < - 1}\\ { - 1{\rm{\;\;for\;\;}} - 1 \le {\rm{x}} \le 1}\\ {{\rm{a}} + 2{{\left( {{\rm{x}} - 1} \right)}^2}{\rm{\;\;for\;\;\;}}1 < {\rm{x}} < 2} \end{array}} \right.\)
What is the value of a for which f(x) is continuous at x = -1 and x = 1?1
-1
2
1
3
0
4
2