`lim_(x->0) (x^3-3x+1)/(x-1)`

lim_(x->0) (x^2-3x+1)/(x-1)

lim_(x->0) (3x+1)/(x+3)

lim_(x->0) (x-1)/(3x-6)

lim_(x->0)(e^(2x)-1)/(3x)

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

lim_(xrarr0)(4^x-1)/(3^x-1) equals

lim_(x to 0) (2^(x)-1)/(x) +lim_(x to 0) (3^(x)-1)/(x) - lim_(x to 0) ((6^(x)-1)/(x)) equals :

lim_(x to 0) ((3^(x)-1)/(x)) is equal to

lim_(x to 0) (x^3 sin(1/x))/sinx