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

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

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)) is equal to (a)16 (b) 24(c)32 (d) 8

lim_(x rarr oo)(2-(1)/(x)+(4)/(x^(2)))

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

lim_(x rarr oo)(x+3)/(x^(2)+4)

lim_(x rarr oo)(x+3)/(x^(2)+4)

lim_(x rarr oo)(x+3)/(x^(2)+4)

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