" The value of "lim_(x rarr1)((ln(1+x)-ln2)(3*4^(x-1)-3x))/([(7+x)^((1)/(3))-(1+3x)^((1)/(2))]*sin(x-1))" is "

Evaluate the limit if exists,lim_(x rarr1)({ln(1+x)-ln2}{3.4^(x-1)-3x})/({(7+x)^((1)/(3))-(1+3x)^((1)/(2))}sin(x-1))

lim_(x rarr1)(log x)/(x-1)=

lim_(x rarr1)((7+x)^((1)/(3))-(3+x^(2))^((1)/(2)))/(x-1)

The value of lim_(x rarr1)(log x)/(sin pi x) is

" 6."lim_(x rarr1)(log x)/(x-1)=

The value of lim_(x rarr1)(x^(7)-2x^(5)+1)/(x^(3)-3x^(2)+2)=

lim_ (x rarr0) (ln (1 + 3x)) / (3 ^ (x) -1)

The value of [lim_(x rarr1)(tan^(2)(x-1))/(x^(3)-x^(2)-x+1)]

lim_(x rarr1)(x^(2)-7x+12)/(x^(2)+4-3x-4)

The value of lim_(x rarr 0) ((4^(x)-1)^(3))/(sin(x^(2)/4) log (1+3x)) is