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MOTION-LIMIT-EXERCISE -2( LEVEL-I)
- If A(j) = ( x-a(j))/( | x- a(j)|) , j = 1,2,"........" n and a(1) lt ...
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- lim(x->a-) {(|x|^3)/a-[x/a]^3} ,(a < 0), where [x] denotes the greates...
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- lim(x->oo)(e^x((2^(x^n))^(1/(e^(x)))-(3^(x^n))^(1/(e^(x)))))/(x^n), n ...
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- Let a = min{x^(2) +2x + 3, x in R ) & b underset( theta rarr 0 ) ( "...
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- Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...
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- Let tan alpha . x + sin alpha · y = alpha and alpha. cosec alpha • x +...
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- underset( x rarroo)("lim") x {tan^(-1) ((x+1)/( x+2))-pi //4}=
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- underset(n rarr oo) ( "lim")( 0.2)^(logsqrt(5) (1//4+1//8+ 1//16+".....
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- Ifa alpha and beta be the roots of ax^2 + bx + c = 0, then lim(x->alp...
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- underset( x rarr 0 ) ( "lim")((1+sin x )/( 1- sin x ))^("cosec x ") i...
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- lim(x->0)((cosx)^(1/2)-(cosx)^(1/3))/(sin^2x) is
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- Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...
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- underset( x rarr - 1) ( "lim")( sqrt(pi ) - sqrt((cos^(-1) x)))/( sqrt...
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- Lim(n->oo) (1.n+2(n-1)+3(n-2)+......+n.1)/(1^2 +2^2+3^2+......+n^2)...
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- If lim(x->0 )x^3/(sqrt(a+x) (bx-sinx)) =1, the the value of constants ...
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- If lim(x->oo)f(x) is finite and non zero and lim(x->oo)(f(x)+((3f(x)+1...
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