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

lim_(xrarr0)(tanx-sinx)/(x^3)=

Evaluate: ("lim")_(xvec0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

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

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

lim_(xto0)(tanx-sinx)/x^(3)

Evaluate : lim_(x to 0)(tanx-sinx)/(x^(3)) .

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

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