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

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)

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

Lim_(x->oo) (2x - 1)/(x + 2)

Evaluate : lim_(x rarr1)((x+1)^(4)-2^(4))/((2x+1)^(5)-3^(5))

The value of lim_(x rarr oo)(3^(x+1)-5^(x+1))/(3^(x)-5^(x))=5

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))= _______.