Question

What is the limit as 'h' approaches 0 of the square root of 'x'?

a) Square root of 0
b) Square root of 'x'
c) 1 divided by the square root of 'x'
d) 0

Answer 1

The limit as 'h' approaches 0 of the square root of 'x' is simply the square root of 'x' itself, since the square root of a constant does not change with respect to another variable.

Step-by-step explanation:

The question at hand involves finding the limit of a constant function as a variable approaches zero. In this particular case, the function is the square root of 'x', where 'x' is a constant and does not depend on 'h'.

Thus, the limit as 'h' approaches 0 of √x (the square root of 'x') is simply the square root of 'x' itself.

This is because the value of √x does not change as 'h' changes; it remains constant irrespective of the value of 'h'.

Therefore, the correct option is (b) Square root of 'x'.