`lim_(x to 0)(x cos x - log_e (1+x))/x^2` का मान है :

lim_(x rarr0)(x cos x-log(1+x))/(x^(2))

lim_(x rarr 0) (1+sinx-cosx+log_e(1-x))/x^2

lim_(x rarr0)(sin x-log(e^(x)cos x))/(x sin x)

"lim_(x rarr0)(log_(e)(1+(x)/(2)))/(x)

(i) lim_(x to 0) (a^(x) - 1)/(log_(a)(1 + x)), a gt 0 (ii) lim__(x to 0) (In (X + a)- In a)/(e^(2x) - 1) (ii) lim_(x to (pi)/(4)) (In(tanx))/(1 - cotx)

(i) lim_(x to 0) (a^(x) - 1)/(log_(a)(1 + x)), a gt 0 (ii) lim__(x to 0) (In (X + a)- In a)/(e^(2x) - 1) (ii) lim_(x to (pi)/(4)) (In(tanx))/(1 - cotx)

lim_(x to 0) {(log_(e)(1+x))/(x^(2))+(x-1)/(x)}=

lim_(x rarr 1) (1+log_e x-x)/(1-2x+x^2)