Let f(x)= lim n->∞ (x^2n) -1/(x^2n) +1.Find f(x).
Let f(x)= lim n->∞ (x^2n) -1/(x^2n) +1.Find f(x).
Sarthak Chaturvedi , 14 Years ago
Grade 12
Differential Calculus> limits- obj RD Sharma...
1 Answersravi shankar singh
case-1 when n>0
f(x)= lim n->∞ (x^2n) -1/(x^2n) +1
f(x)= lim n->∞x^2n{1-1/x^2n}/x^2n{1+1/x^2n}
f(x)=1
case-2 when n<0
f(x)= lim n->∞ (x^2n) -1/(x^2n) +1
f(x)=lim n->∞x^2n{1-1/x^2n}/x^2n{1+1/x^2n}
f(x)=1
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