`("lim")_(xvec0)((x+y)sec(x+y)-xsecx)/yi se q u a lto` (a)`secx(xtanx+1)` (b) `xtanx+secx` (c)`xsecx+tanx` (d) none of these

("lim")_(yvec0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) xtanx+secx (c) xsecx+tanx (d) none of these

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

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

("lim")_(xto0)((1+tanx)/(1+sinx))^(cos e cx)i se q u a l t o (a)e (b) 1/e (c) 1 (d) none of these

("lim")_(xvec0)(sin(x^2))/(1n(cos(2x^2-x)))is equal to 2 (b) -2 (c) 1 (d) -1

("lim")_(xvec0)(sinx^n)/((sinx)^m),(m

("lim")_(xvec0)(sinx^n)/((sinx)^m),(m

int((x^2+1))/((x+1)^2)dxi se q u a lto ((x-1)/(x+1))e^x+c (b) e^x((x+1)/(x-1))+c e^x(x+1)(x-1)+c (d) none of these

("lim")_(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equal to (a)1 (b) 0 (c) 2 (d) none of these

("lim")_(xvec1)((1-x)(1-x^2)(1-x^(2n)))/({(1-x)(1-x^2)(1-x^n)}^2),n in N ,e q u a l s ^2n P_n (b) ^2n C_n (c) (2n)! (d) none of these