ſ1 + X-V1-7 Me olfers limx → 0 = 1 x समीक

limx→∞ tanx/x

Let vec V_1=3a x^2 hat i-2(x-1) hat j and vec V_2=b(x-1) hat i+x^2 hat j , where a b<0. The vector vec V_1 and vec V_2 are linearly dependent for atleast one x in (0, 1) atleast one x in (-1,0) atleast one x in (1,2) no value of x in (0, 1)

The circles x^2 + y^2 + 2ux + 2vy = 0 and x^2 + y^2 + 2u_1 x + 2v_1 y = 0 touch each other at (1, 1) if : (A) u + u_1 = v + v_1 (B) u + v = v_1 + u_1 (C) u/u_1 = v/v_1 (D) none of these

The circles x^2 + y^2 + 2ux + 2vy = 0 and x^2 + y^2 + 2u_1 x + 2v_1 y = 0 touch each other at (1, 1) if : (A) u + u_1 = v + v_1 (B) u + v = v_1 + u_1 (C) u/u_1 = v/v_1 (D) none of these

1) 0 2) 2 11 + sin x cosx 8 tan ?? ?? 1) 2 3) x 1 V1 + sinx-1-sin x 1 + sin x + 1-si x tan 1 3) 4) 2x 10. If sinxt + COS x for 0 <| x | <12 t -

lim_(x rarr 0) (1-cos 7x)/(1- cos 9x) =

Evaluate: underset(xrarr0)limx^x

If x + [(1)/((x + 7))]= 0 , what is the value of x - [(1)/((x + 7))] ?