Illustration : 22n-1 Discuss the co...
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Illustration : 22n-1 Discuss the continuity of f (x) = Lim-2, n> x-" +

JEE/Engineering Exams
Maths
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( F(x)=lim _{n rightarrow infty} frac{x^{2 n}-1}{x^{2 n}+1} ) whin ( x=1 ) then ( begin{aligned} F(x) &=lim _{n rightarrow infty} frac{(1)^{2 n}-1}{i !^{2 n}+1} &=ln 20 frac{0}{2}=0 end{aligned} ) When ( x< ) inen ( begin{aligned} f(x) &=lim _{n rightarrow 00} frac{x^{2 n}-1}{x^{2 n}+1} &=ln frac{0-1}{n+0+1} &=-1 end{aligned} )
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