1. The value of limx→∞ √1+ x4 - ( 1 + x2 ) / x2 is :-

Dear Mainak Chakraborty,

Ans:- Rationalising we get the following expression

       =Lim x→∞   2x²/x²{(√1+x^4)+(1+x²)}

now puttuing x=∞ we get the value=0(Ans)

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