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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).

Grade:12

1 Answers

ravi shankar singh
31 Points
9 years ago

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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