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
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CBSE Class 12 Sample Paper for 2024 Boards
CBSE Class 12 Sample Paper for 2024 Boards
Last updated at April 16, 2024 by Teachoo
This question is similar to Ex 5.1, 28 - Chapter 5 Class 12
Given that function is continuous at π₯=0 π is continuous at x =0 If L.H.L = R.H.L = π(0) i.e. limβ¬(xβ0^β ) π(π₯)=limβ¬(xβ0^+ ) " " π(π₯)= π(0) LHL at x β 0 (πππ)β¬(π₯β0^β ) f(x) = (πππ)β¬(ββ0) f(0 β h) = limβ¬(hβ0) (π(0 ββ))/(|0βh|) = limβ¬(hβ0) (π( ββ))/h = -k Since L.H.L = R.H.L βπ=3 π= βπ