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AAKASH SERIES-LIMITS-SOLVED EXAMPLES
- Evaluate Lt(xtooo)((x^(2)+ax+b)/(x^(2)+cx+d))^(x) where a, b, c, d are...
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- Find Lt(x to oo)((3x^(2)+1)/(4x^(2)-1))^((x^(3))/(1+x)) Caution : Th...
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- Evaluate Lt(xto0)((a^(x)+b^(x)+c^(x))/3)^(1/x) where a,b,cinR^(+).
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- If Lt(x to 0)(1+ax+bx^(2))^(2//x)=e^(3), find an and b.
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- Find Lt(xto0)((sinx-x+x^(3)/6)/x^(5))
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- Find a, b and c if Lt(xto0)((ae^(x)-bcosx+ce^(-x))/x^(2))=2
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- Evaluate Lt(x to 0)[((1+x)^((1)/(x))-e+(ex)/(2))/(sin^(2)x)]
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- Find Lt(x to oo)([ax+b])/(x) (a gt 0) where [.] denotes the GIF.
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- Show that Lt(ntooo)([x]+[2x]+...+[nx])/n^(2)=x/2.
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- Show that Lt(x to oo)(x-logx)/(x+logx)=1
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- Show that Lt(x to 0)(e^(x)-1)/(x)=1
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- Find Lt(xto0)(1-cosx)/x^(2)
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- Evaluate Lt(xtoa)(x^(a)-a^(x))/(x^(x)-a^(a))
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- Find Lt(x to oo)(logx)/(x)
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- Show that Lt(x to 0)(log(1+x))/(x^(2))=1
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- If underset(x to 0)"Lt" ((cos 4x+a cos 2x+b)/(x^(4))) is finite, then...
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- Determine Lt(x to 0)((1)/(sin^(2))x-(1)/(sin h^(2)x))(oo-oo "from")
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- Find Lt(x to 0) (x log (tanx))(0, oo- from)
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- Evaluate Lt(x to 0)(x^(x)). (0^(0) from)
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- Lt(x to 0)+((1)/(x))^(tanx) (oo^(theta) "from")
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