If `("lim")_(xvec0)(cos4x+acos2x+b)/(x^4)` is finite, find `aa n db` using expansion formula.

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

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

("lim")_(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

If ("lim")_(xvec0)(a e^x-b)/x = 2 , then find the value of aa n dbdot

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

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

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

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_(xto0)(1-cos4x)/(x^(2))