Given:f(x) is continuous at x = 0 & f(0) = kIf f(x) to be continuous at x = 0,then,f(0)– = f(0) + = f(0)LHL = f(0)– = 1Since f(x) is continuous at x = 0 & f(0) = k,thenk = 1

Q. 355.0( 8 Votes )

Find the value of

Class 12th RD Sharma - Volume 1 9. Continuity

Answer :

Given:

f(x) is continuous at x = 0 & f(0) = k

If f(x) to be continuous at x = 0,then,

f(0)^– ₌ f(0) ^{+ =} f(0)

LHL = f(0)^– =

Since f(x) is continuous at x = 0 & f(0) = k,then

k = 1

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