Question 12 If the function π(π₯)={(π₯^2 β 1)/(π₯ β 1) π€βππ π₯β 1 @π π€βππ π₯=1 )β€is given to be continuous at x = 1, then the value of k is ________
Since f(x) is continuous at x = 1,
then
limβ¬(xβ1) π(π₯)=π(1)
limβ¬(xβ1) ((π₯^2 β 1)/(π₯ β 1)) =π
limβ¬(xβ1) (((π₯ β 1)(π₯ + 1))/(π₯ β 1)) =π
limβ¬(xβ1) (π₯+1) =π
1 + 1 = k
2 = k
k = 2
Therefore, k = 2

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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