[" 9."quad Lt(3sin pi x-sin3 pi x)/(x rarr1)=],[[" 1) "-4 pi^(3)," 2) "0," 3) "1]]

Lt_(x rarr1)(3sin pi x-sin3 pi x)/((x-1)^(3))=

lim_ (x rarr1) (1-x ^ (2)) / (sin pi x)

Lt_(x to 1) (1+sin pi x)^(cot pi x)=

the period of sin ((pi)/(3) -x ) sin ((pi)/(3) + x) is

lim_ (x rarr pi) (sin3x) / (sin2x)

lim_ (x rarr0) (sin x sin ((pi) / (3) + x) sin ((pi) / (3) -x)) / (x)

Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

lim_ (x rarr pi) ((sin3x-3sin x) / ((pi-x) ^ (3)))

int _ (- 1) ^ ((3) / (2)) | x sin pi x | dx = [(- x cos pi x) / (pi) + (sin pi x) / (pi ^ (2))] _ (- 1) ^ (1) - [(- x cos pi x) / (pi) + (sin pi x) / (pi ^ (2))] _ (1) ^ ((3) / (2) )