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

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Grade Upto college levelDifferential Calculus

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

Mainak Chakraborty

16 Years agoGrade Upto college level

1 Answer

Askiitians Expert Soumyajit IIT-Kharagpur

16 Years ago

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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SOUMYAJIT IIT_KHARAGPUR