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Find the value of `k ,`for which`f(x)={{(sqrt(1+k x)- sqrt(1-k x))/(x(2x+1)/(x-1 )) , "if", -1lt=x |
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Answer» for continous function at any point p n `implies`left hand side limit should be equal to the right hand side limit `f(0)=(2x+1)/(x-1)``=1/-1=-1``lim(x->0) f(x)=((sqrt(1+kx)-sqrt(1-kx)))/x` multiply and devide by `(sqrt(1+kx)+sqrt(1-kx)``lim(x->0)f(x)=(2*k*x)/(x(sqrt(1+kx)+sqrt(1-kx))``implies` `2k/k=1` Ans=`k=1`,for this value k `f(x)` is continous |
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