Evaluate the limits using the expansion formula of functions `("lim")_(xvec0)(e^x-1-x)/(x^2)`

Evaluate the limits using the expansion formula of functions ("lim")_(xvec0){(sinx-x+(x^3)/6)/(x^5)}

Evaluate the limits using the expansion formula of functions lim_(x->0) (sinx+log(1-x))/x^2

Evaluate: ("lim")_(xvec0)(e^x^2-cosx)/(x^2)

Evaluate: ("lim")_(xvec0)(e^x+e^(-x)-2)/(x^2)

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

Evaluate: ("lim")_(xvec0)1/xsin^(-1)((2x)/(1+x^2))

Evaluate: ("lim")_(xvec0)(2^x-1)/(sqrt(1+x)-1)

Evaluate: ("lim")_(xvec0)(1-cosm x)/(1-cosn x)

Evaluate: ("lim")_(xvec-2^+) (x^2-1)/(2x+4)