(a)/(x^(4))-(b)/(x^(2))+cos x

Lt_(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(x)/(4))=

" Let "a=min{x^(2)+2x+3,x in R}" and ", b=Lt_(x rarr0)(64)/(x^(4))[1-cos(x/2)-cos(x/4)+cos(x/2)cos(x/4)] then find the value of a and b

Let a=min{x^(2)+2x+3,x in R} and b=lim_(xto0)(64)/(x^(4))[1-cos(x/2)-cos(x/4)+cos(x/2)cos(x/4)] then

If f(x)sin x cos xdx=(1)/(2(b^(2)-a^(2)))ln f(x)+c, then f(x) is equal to (1)/(a^(2)sin^(2)x+b^(2)cos^(2)x)(b)(1)/(a^(2)sin^(2)x-b^(2)cos^(2)x+b^(2)cos^(2)x+b^(2)cos^(2)x)(d)(1)/(a^(2)cos^(2)x-b^(2)cos^(2)x)

tan((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x),x!=0 is equal to x( b) 2x( c) (2)/(x) (d) none of these

int(a^(2)sin^(2)x+b^(2)cos^(2)x)/(a^(4)sin^(2)x+b^(4)cos^(2)x)dx

If y=(1)/(sqrt(a^(2)-b^(2)))cos^(-1)((a cos x+b)/(a+b cos x)), then (d^(2)y)/(dx^(2))=(i)(b sin x)/((a+b cos x)^(2))( ii) -(b sin x)/((a+b cos x)^(2))( iii) (b cos x)/((a+b cos x)^(2))( iii) -(b cos x)/((a+b cos x)^(2))

Lim_(x to 0){"cos"((x)/(2))cos((x)/(4))cos((x)/(8))....cos((x)/(2^(n)))}=

lim_(x rarr0)(1-cos x-cos2x+cos x*cos2x)/(x^(4)) = (A) 1 (B) 2 (C) 3 (D) 4