Determine if the statement is always, sometimes, or never true...?

Question

If n is even and a>= 0, then the nth root of a is the nonnegative nth root of a. (Always)

Any polynomial function will change signs only when its graph passes through a zero of the function. (No idea)

The value of e is defined as the number that the expression (1+ 1/n)^n approaches as n approaches -1. (Not sure)

Answer 1

1. always

2. true (IT WON'T HAVE AN ASYMPTOTE OR DISCONTINUITY IF IT'S A POLYNOMIAL)

3. false (AS N APPROACHES INFINITY BY DEFINITION)

ANSWER

Answer 2

If n is even and a>= 0, then the nth root of a is the nonnegative nth root of a.

(sometimes)  for instance (-1) is one of the square roots of 1

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Any polynomial function will change signs only when its graph passes through a zero of the function. (the wording is confusing here)

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The value of e is defined as the number that the expression (1+ 1/n)^n approaches as n approaches -1. (never)

for example:

(1+ 1/n)^n = (1 - 1)^(-1) = 1/0 ... which is sure not "e"

lim (1+ 1/n)^n as n approacehs infinity is "e"

and (-1) is not infinity