Given:f(x) is continuous at x = 1If f(x) to be continuous at x = 1,then,f(1)–=f(1) + =f(1)LHL = f(1)– = 4 ....(1)RHL = f(1) + = ⇒ k(1–0)2⇒ k ....(2)Since, f(x) is continuous at x = 1 & alsofrom (1) & (2) k = 4

Q. 36 F5.0( 1 Vote )

In each of the fo

Class 12th RD Sharma - Volume 1 9. Continuity

Answer :

Given:

f(x) is continuous at x = 1

If f(x) to be continuous at x = 1,then,f(1)^–=f(1) ⁺ =f(1)

LHL = f(1)^– =

4 ....(1)

RHL = f(1) ⁺ =

⇒ k(1–0)²

⇒ k ....(2)

Since, f(x) is continuous at x = 1 & also

from (1) & (2)

k = 4

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