Find `("lim")_(nvecoo)(5x+2cosx)/(3x+14)` using sandwitch theorem

Evaluate: lim_(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

Evaluate : ("lim")_(xvec2)(x^2-5x+6)/(x^2-4)

lim_(xto0)(1-cosx)/x^(2)

lim_(xto0)(e^(x^(2))-cosx)/(x^(2))=

lim_(xtooo)(x^(4)-5x)/(x^(2)-3x+1)

Find lim_(xto-2)(x^(2)+5x+6)/(x^(2)+3x+2)

Find the number of integers lying in the interval (0,4) where the function f(x)=(lim)_(nvecoo)(cos(pix)/2)^(2n) is discontinuous

Let f(x)=("lim")_(mvecoo){("lim")_(nvecoo)cos^(2m)(n !pix)}, where x in Rdot Then prove that f(x)={1,if x isrational 0,if x is irrational

Evaluate lim_(xto0)(cosx)/(pi-x)

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____