For all `x in (0,1)` `e^x<1+x` (b) `(log)_e(1+x) x` (d) `(log)_e x > x`

For all x in (0,1) (a) e^x x (d) (log)_e x > x

For all x in (0,1) (a) e^x x (d) (log)_e x > x

For all x in (0,1) (a) e^x (b) (log)_e (1+x) (c) sin x > x (d) (log)_e x > x

For all x in (0,1) (a) e^x (b) (log)_e (x+1) (c) sinx>x (d) (log)_e x > x

For all x in (0, 1) (A) e^(x) lt 1+x (B) log_e (1+x) lt x (C) sin x gt x (D) log_(epsi) x gt x

lim_(x->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x (c) (log)_e x (d) none of these

lim_(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x (c) (log)_e x (d) none of these

The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a) x/((log)_e x) (b) 1/x(log)_e x (c) 1/(x(log)_e x) (d) none of these

The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a) x/((log)_e x) (b) 1/x(log)_e x (c) 1/(x(log)_e x) (d) none of these

The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a)x/((log)_e x) (b) 1/x(log)_e x (c)1/(x(log)_e x) (d) none of these