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If Lim(x->oo) (l n(e^2x^2 +5x)-2ln(c...

If `Lim_(x->oo) (l n(e^2x^2 +5x)-2ln(c^2x+1))=-2` then which of the following may be true -

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lim_(xto oo)(ln(x^(2)+5x)-2ln(cx+1)=-2 then

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If f (x) = lim _( n to oo) (n (x ^(1//n)-1)) for x gt 0, then which of the following is/are true?

If f (x) = lim _( n to oo) (n (x ^(1//n)-1)) for x gt 0, then which of the following is/are true?

If phi(x)=lim_(n->oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^2+2x-x) , then which of the following is/are true. a. lim_(x->oo)g(x)=1 b. lim_(x->oo)f(x)=1 c. lim_(x->oo)f(x)=-1 d. lim_(x->oo)g(x)=-1

If phi(x)=lim_(x rarr oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is