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AAKASH SERIES-LIMITS-SOLVED EXAMPLE
- Evaluate Lt(x to 3)(x^2 + 3x + 2)/(x^2 - 6x + 9)
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- Find Lt(xto1)(1+5x^(3))/(2-x^(2)).
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- Evaluate Lt(x to pi/4)cotx.
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- Show that Lt(xto0)(e^(ax)-1)/x=a(ainR)
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- Prove that Lt(xto0)(a^(kx)-1)/x=k.loga(agt0,ane1).
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- Show that Lt(xto0)(a^(x)-1)/(b^(x)-1)=log(b)a where a and b are positi...
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- Evaluate Lt(xto0)(27^(x)-9^(x)-3^(x)+1)/x^(2).
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- Evaluate Lt(xto0)((e^(x^(2))-cosx)/x^(2)).
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- Evaluate Lt(ntooo)(1^(2)+2^(2)+3^(2)+......+n^(2))/n^(3).
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- underset(n to oo)lim (n(1^(3)+2^(3)+...+n^(3))^(2))/((1^(2)+2^(2)+...+...
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- Show that Lt(ntooo)[1/(a(a+d))+1/((a+d)(a+2d))+...+1/([a+(n-1)d][a+nd]...
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- Show that Lt(ntooo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=-20/7
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- Lt(ntooo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)
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- Evaluate Lt(xto0)(1+ax)^(b//x) where a, b are constants.
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- Evaluate Lt(xtooo)(1+1/(ax+b))^(cx+d) where a, b, c, d are positive co...
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- Find Lt(xto0)((sinx)/x)^((sinx)/(x-sinx)).
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- Find Lt(xtooo)((x+a)/(x+b))^(x), a, b are constants.
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- Evaluate Lt(xtooo)((x^(2)+ax+b)/(x^(2)+cx+d))^(x) where a, b, c, d are...
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- Find Lt(xtooo)((3x^(2)+1)/(4x^(2)-1))^((x^(3))/(1+x))
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- Evaluate Lt(xto0)((a^(x)+b^(x)+c^(x))/3)^(1/x) where a,b,cinR^(+).
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