Evaluate: `("lim")_(nvec1)secpi/(2^x)logxdot`

Evaluate: ("lim")_(xvec1)sec(pi/(2^x))logxdot

Evaluate: ("lim")_(xto1)sec(pi/(2^x))logxdot

Evaluate: lim_(x->1)sec(pi/(2x))logxdot

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

Evaluate: ("lim")_(nvec1)("sin"{x})/({x}) if exists, where {x} is the fractional part of xdot

Evaluate: ("lim")_(nvec0)(1-"cos"(1-cosx)dot)/(x^4)

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)

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

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