Question

Evaluate limx-0 ✓1+x - ✓1-x/x​

Answer 1

Answer:

Step-by-step explanation:

If  f  is differentiable at  x=a , then

limh→0f(a+h)−f(a−h)2h=f′(a) .

With  f(x)=x−−√  and  a=1 , this gives

limh→01+h−−−−−√−1−h−−−−−√h=2⋅12x−−√∣∣∣x=1=1