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

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

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

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

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

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

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

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

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

Evaluate: lim_(x->0) (1-cos2x)/(x^2)