The reciprocal of `1/x`, x is not equal to 0 is
`x`
`1/x`
1
0

lim_(x->0) (Cosx -1)/x is equal to

The ratio of the sum of the reciprocal of x and y to the product of the reciprocal of x and y is 1 : 3. What is sum of the numbers x and y?

The roots of a_1x^2+b_1x + c_1=0 are reciprocal of the roots of the equation a_2x^2 +b_2x+c_2=0 if

All roots of equation x ^(5) -40 x ^(4) + alphax ^(3) + beta x ^(2) + gamma x + delta =0 are in G.P. if the sum of their reciprocals is 10, then delta can be equal to :

If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciprocal of the other, then the value of k is___________ .

If f (x)= max. (x ^(4), x ^(2) ,(1)/(81))AAx in [0, oo), then the sum of square of reciprocal of all the values of x where f (x) is non-differentiable, is equal to:

The number of integral solution of the equation (sgn((x-1)(x-5)))^(x)=1 lying in the interval [-10, 10] is not equal to :

The value of lim_(x to 0) ((1)/(x) - cot x) equals

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

lim_(x->0) ((1+x)^(1/x)-e)/x is equal to