9. `lim_(x->0) ((x+1)^5-1)/x`

lim_(x->0)(e^(5x) - 1)/(3x)

lim_(x→0) (√(x+1)−1)/x

lim_(xrarr0) ((x+1)^(5)-1)/(x)

Evaluate: lim_(x->0)(e-(1+x)^(1/x))/x

Evaluate(i) (lim)_(x->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)_(x->0)(sqrt(1+x)-1)/x

Statement-1 : lim_(x to 0) (1 - cos x)/(x(2^(x) - 1)) = (1)/(2) log_(2) e . Statement : lim_(x to 0) ("sin" x)/(x) = 1 , lim_(x to 0) (a^(x) - 1)/(x) = log a, a gt 0

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

lim_(x->0)((4^x+9^x)/2)^(1/x)

The value of lim_(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)0 (b) -1 (c) 1 (d) 2

Evaluate (i) (lim)_(x""->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)_(x""->0)(sqrt(1+x)-1)/x