Evaluate limit of lim x → 0 ( 1 + x ) ( 1 /...
Evaluate limit of
Answer & Explanation
Start by adding and subtracting 1 in the numerator:
Now split up the limit like this:
Using the substitution on the second limit, you should see that both limits are the definition of the derivative of at
Using the power rule, we know that So, the answer is
Alternatively, you can see this by using the alternative definition and multiplying the numerator and denominator of our original limit by 2