`|2x-1|=3(x)+2{x}\ t h e n\ x=`

If L=+(lim)_(x->1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),\ t h e n\ 20\ L=

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Find the value of x^3+7x^2-x+1,\ w h e n\ x=1+2idot

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

If p x^4\ \ q x^3+r x^2+s x+t=|x^2+3xx-1x+3x+1 2-xx-3x-3x+4 3x|t h e n\ is equal to- a. b. c. d. none

Discuss the applicability of Rolles theorem on the function f(x)={x^2+1,\ \ \ \ w h e n\ 0lt=xlt=1 3-x ,\ \ \ \ w h e n\ 1

If int(x^2-x+1)/((x^2+1)^(3/2))e^x dx=e^xf(x)+c ,t h e n f(x) is an even function f(x) is a bounded function the range of f(x) is (0,1) f(x) has two points of extrema

If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equals \ \

I ff(x)=2tan^(- 1)x+sin^(- 1)((2x)/(1+x^2)), x > 1 .T h e n , f(5) is equal to