Discuss the existance of Lt(x to 1)(1+5x...

Discuss the existance of `Lt_(x to 1)(1+5x^(3))/(1-x^(2))`

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The correct Answer is:

`-oo`

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AAKASH SERIES-LIMITS-SOLVED EXAMPLES

Find Lt(xtooo)(sinx)/x.
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Evaluate Lt(x to 3)(x^2 + 3x + 2)/(x^2 - 6x + 9)
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Discuss the existance of Lt(x to 1)(1+5x^(3))/(1-x^(2))
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Evaluate Lt(x to 0)((1)/(x^(2))-cot x)
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Evaluate Lt(x to oo) ( sqrt(x^(2)+ax+b)-x)
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compute Lt(x to oo) sqrt((x- sin x)/(x+cos x))
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Using definition, Show that Lt(x to oo)(1)/(x^(2))=0
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Using definition, show that Lt(x to oo)e^(x)=oo
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underset(n to oo)lim (1^(2)+2^(2)+3^(2)+...+n^(2))/(n^(3))=
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Show that Lt(xto0)(e^(ax)-1)/x=a(ainR)
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Prove that Lt(x to 0) (a^(kx)-1)/(x)=k. log a (a gt theta, a ne 1)
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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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Evulate Lt(x to 0)(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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underset(n to oo)lim (n(1^(3)+2^(3)+...+n^(3))^(2))/((1^(2)+2^(2)+...+...
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underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(...
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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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Evaulate Lt(x to 0)(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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