Evaluate the limit of a function

Question

Given: lim_x→_c f(x) = 16

Solve for: lim_x→_c -4√f(x) (Read as negative fourth root of the function of x)

If my calculations were right, is the answer supposed to be -2? Or a positive? The index is an even number, so should the answer be positive? If so, how to turn the -2 into a positive? Do I multiply it to a negative 1?

Answer 1

Kay

The fourth root is the square root of the square root. So you would evaluate the 4th root of 16 as

√ (√16). Conventionally we always take the positive square root, so this is √ 4 = +2

so your limit is -+2 = -2

Mike