Find the indicated limit.
lim_(x->-63.5)(root3(2x + 2))
To find the limit of the function as x approaches -63.5, we can substitute -63.5 into the function and simplify.
Let's substitute -63.5 into the function:
lim_(x->-63.5) (root3(2x + 2))
= root3(2(-63.5) + 2)
= root3(-127 + 2)
= root3(-125)
Since the function involves a cube root, we are looking for a number that, when cubed, equals -125.
We can rewrite -125 as -5 cubed:
root3(-125)
= root3((-5)^3)
= -5
Therefore, the limit of the function as x approaches -63.5 is -5.