Evaluate: `("lim")_(xvec0)(cot2x-cos e c2x)/x`

Evaluate: ("lim")_(xvec0)(1+x)^(os e cx c)

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

Evaluate: ("lim")_(xvec0)(1-cos2x)/(x^2)

Evaluate ("lim")_(xvec0) (sinx-2)/(cosx-1)

Evaluate lim_(xto0) (cot2x-cosec2x)/(x).

Evaluate: ("lim")_(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

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

Evaluate ("lim")_(xvec0)(x-sinx)/(x^3)dot (Do not use either LHospitals rule or series expansion for sinxdot)dot Hence, evaluate ("lim")_(nvec0)(sinx-x-xcosx+x^2cotx)/(x^5)

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

Evaluate: ("lim")_(xvec2)(x-2)/((log)_a(x-1))