`lim_(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45))=`

lim_(xtooo) ((2x+1)^(40)(4x+1)^(5))/((2x+3)^(45)) is equal to

Which of the following is/are true? (a) lim_(x->oo)((2+x)^(40)(4+x)^5)/((2-x)^(45))=1 (b) lim_(x->0)(1-cos^3x)/(xsinxcosx)=3/2 (c) lim_(x->0)(ln(1+2x)-2"ln"(1+x))/(x^2)=-1 (d) lim_(x->oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^1((2x+1)/(x-1)^2)=1

lim_(x rarr oo)((2x+1)^(40)(4x-1)^(5))/((2x+3)^(45)) is equal to (a)16 (b) 24(c)32 (d) 8

Which of the following is/are true? (a) lim_(x rarr oo)((2+x)^(40)(4+x)^(5))/((2-x)^(45))=1(b)lim_(x rarr0)(1-cos^(3)x)/(x sin x cos x)=(3)/(2)(c)lim_(x rarr0)(ln(1+2x)-2ln(1+x))/(cot^(-1)(sqrt(x+1)-sqrt(x)))=-1 (d) lim_(x rarr oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^(1)((2x+1)/((x-1)^(2)))=1)=-1 (d)

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

lim_(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :

lim_ (x rarr oo) ((2 + x) ^ (40) (4 + x) ^ (5)) / ((2-x) ^ (45)) =

lim_(x rarr oo)(2x+1)/(3x-2)

lim_(x rarr oo) ((4x+5)(2x-1))/((27x^(2)+1))= _______.