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lim(x->0) tan^(-1) (a/x^2), where a in R...

`lim_(x->0) tan^(-1) (a/x^2)`, where `a in R`

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The correct Answer is:
`pi //2` if `a gt 0 ;` if a=0 and `- pi //2` if `a lt 0 `;
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MOTION-LIMIT-EXERCISE-3
  1. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

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  2. lim(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

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  3. lim(x->0) tan^(-1) (a/x^2), where a in R

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  4. Plot the graph of the function f(x)=lim(t->0)((2x)/pitan^(- 1)x/(t^2))

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  5. lim(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)

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  6. lim(x->oo)((x+c)/(x-c))^x= 4 then find c.

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  7. Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...

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  8. L =lim(x->0)((1)/(ln(1+x))-1/(ln(x+sqrt(1+x^2)))) then find the value ...

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  9. underset( x rarr 0 ) ( "Lim") ((x- 1+ cos x )/( x))^((1)/( x))

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  10. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

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  11. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

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  12. underset( x rarr 0 ) ("Lim") [ ((1+x)^(1//x))/( e ) ]^(1//x)

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  13. underset( x rarr oo) ("Lim") ((cos h ( pi //x))/(cos( pi//x)))^(x^(2))

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  14. Evaluate lim(x->1)(root13 x- root 7 x)/(root5 x- root3 x)

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  15. lim[x->1] ([sum[k=1]^100x^k]-100])/(x-1)

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  16. lim(x ->oo)x^(2)(sqrt((x+2)/(x))-root(3)((x+3)/(x))) equals

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  17. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  18. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  19. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  20. At the end points A,B of the fixed segment of length L, lines are draw...

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