["Long answer questions "(11" to "22):],[lt_(x rarr pi)(1+cos^(3)x)/(sin^(2)x)]

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Lt_(x rarr0)(cos x+sin x)^((1)/(x))=

lim_ (x rarr (pi) / (2)) (sin2x) / (cos x)

Lt_(x rarr0)(x-sin x)/(x^(3))

value of lim_(x rarr0)((1-cos2x)sin11x)/(x^(2)sin7x) is

lim_ (x rarr (pi) / (2)) (1-sin ^ (3) x) / (cos ^ (2) x)

lim_ (x rarr (pi) / (2)) - (1-sin ^ (3) x) / (3cos ^ (2) x)

lim_(x rarr pi/3) (sin (pi/3-x))/(2 cos x-1) =

Lt_(x rarr0)(cos ecx-(1)/(x)-(x)/(6))/(x^(3))=

lim_(x rarr0)((cos x)^((1)/(2))-(cos x)^((1)/(3)))/(sin^(2)x) is

The value of lim_(x rarr oo)[(x)/(2)cos((pi^(100))/(3x))sin((pi)/(5x))] is