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AAKASH SERIES-LIMITS-EXERCISE-II
- underset(x to 0)"Lt" (3 sin x^(@)-sin 3x^(@))/(x^(3))=
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- Lt(x rarr 0)(6^(x) - 3^(x) - 2^(x)+1)/(x^(2)) =
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- Lt(x to 0)((15)^(x)-5^(x)-3^(x)+1)/(1-cos 4x)=
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- Lt(x to 0)(e^(tanx)-e^(sinx))/((e^(2x)-1)(1-cos4x))
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- underset(x to 0)"Lt" (e^(x)-e^(sin x))/(2(x-sinx))=
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- Find Lt(xto0)((sinx-x+x^(3)/6)/x^(5))
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- Lt(x to 0) (sin^(-1)x-tan^(-1)x)/(x^(3))=
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- Lt(x to 0)( 1-cosx-cos2x+cosx.cos2x)/(x^(4))
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- underset(x to 0)"Lt" (1-cos(1-cosx))/(x^(4))=
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- underset(x to -8)"Lt" (sqrt(1+sqrt(1+x))-2)/(x-8)=
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- underset(x to o)"Lt" log|(log(1+x))/x|=
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- Lt(x to-1) ((sqrt(pi))-sqrt(cos^(-1)x))/(sqrt(x+1))=
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- underset(x to 0)"Lt" (log(e)(1+x))/(3^(x)-1)=
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- If a gt 0 and underset(x to a)"Lt "(a^(x)-x^(a))/(x^(x)-a^(a))=-1" the...
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- underset(x to 0)"Lt" (x. 10^(x)-x)/(1-cos x)=
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- The equadratic equation whose roots are l and m, where l = lim( th...
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- Lt(x to 0) (tan^(3)x-sin^(3)x)/(x^(5))=
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- underset(x to 0)"Lt" ((1-e^(x))sin x)/(x^(2)+x^(3))=
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- Lt(x to 1) (ax^(2)+bx+c)/(x-1)=0, then
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- Lt(x to 0) (a sin x-sinx2x)/(tan^(3)x) is finite, then a=
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