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If f(x)={(kx/(|x|), if  x<0 , 3 if  x≥0)} is continuous at x=0, then the value of k is

(a) -3                (b) 0                 (c) 3              (d) any real number

This question is similar to Ex 5.1, 28 - Chapter 5 Class 12



Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Given that function is continuous at π‘₯=0 𝑓 is continuous at x =0 If L.H.L = R.H.L = 𝑓(0) i.e. lim┬(xβ†’0^βˆ’ ) 𝑓(π‘₯)=lim┬(xβ†’0^+ ) " " 𝑓(π‘₯)= 𝑓(0) LHL at x β†’ 0 (π‘™π‘–π‘š)┬(π‘₯β†’0^βˆ’ ) f(x) = (π‘™π‘–π‘š)┬(β„Žβ†’0) f(0 βˆ’ h) = lim┬(hβ†’0) (π‘˜(0 βˆ’β„Ž))/(|0βˆ’h|) = lim┬(hβ†’0) (π‘˜( βˆ’β„Ž))/h = -k Since L.H.L = R.H.L βˆ’π‘˜=3 π’Œ= βˆ’πŸ‘

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Davneet Singh

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.