Question

If the function
f (x) = { x^2-1/x-1 when x not equal to 1
k when x=1 }
is given to be continuous at x=1 then the value of k is ??​

Answer 1

Answer:

for x not = 1

Limit x tends to 0 f(x)

= limit X tends to 0 x^2-1/x-1

= limit X tends to 0 (x+1)(x-1)/x-1

= limit X tends to 0 (x+1)

=0+1

=1

for X=1

f(1)=K

f of X is continuous at X =1

k=1

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