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AAKASH SERIES-LIMITS-EXERCISE-II
- If f^(1)(0)=-3 then Lt(x to 0) (x^(2))/(f(x^(2))-6.f(4x^(2))+5.f(7x^(2...
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- Let f(x) be a twice differentiable function and f^(11)(0)=2, then Lim(...
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- Lt(x to 0) (1-cos(2x^(3)))/(x^(2). tan^(2)3x.sin^(2)4x)=
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- The integer 'n' for which Lt(x to 0) (cos2x-1)/(x^(n)) is a finite non...
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- underset(x to pi//2)lim (cot x-cos x)/((pi//2-x)^(3))=
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- Lt(x to 1)(3 sinpix-sin3pix)/((x-1)^(3))=
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- Lt(x to (1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))=
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- Lt(alpha to 0) (sin(alpha^(n)))/((sin alpha)^(m))=(m, n N)=0 if
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- 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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