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

Evaluate the limit: ("lim")_(xvec0)(sina x)/(sinb x)

2sin^2x-7sinx +3=0

Evaluate: ("lim")_(xvec0xvec0)(y^2+sinx)/(x^2+siny^2) where (x , y)vec(0,) along the curve x=y^2

Evaluate: ("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

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

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

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

int(2sinx)/(3+sin2x)\ dx

("lim")_(xvec0)(x^asin^b x)/(sin(x^c)) , where a , b , c in R ~{0},exists and has non-zero value. Then, (a) a+c (b) 1 (c) -1 (d) none of these

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)