Question

Let x = 3.99999 . (a) is x < 4 or is x = 4? x < 4 it is neither; x > 4 x = 4 x < 4 and x = 4 it cannot be determined. (b) sum a geometric series to find the value of x. x = (d) how many decimal representations does the number 4 have? 0 decimal representations (d) which numbers have more than one decimal representation? the rational numbers except for 0 the integers all integers except for 0 all rational numbers that have a terminating decimal representation except for 0 all real numbers

Answer 1

The value of x, 3.99999, is less than 4. The sum of a geometric series cannot be calculated in this case. The number 4 has 0 decimal representations and numbers that have more than one decimal representation are rational numbers with recurring decimals.

Step-by-step explanation:

The value of x, 3.99999, is less than 4. Therefore, x < 4.

To sum a geometric series, we use the formula: S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. However, since we only have x = 3.99999, which is not a geometric series, we cannot calculate its sum using this formula.

The number 4 has 0 decimal representations. It is an integer and can be represented as a whole number

Numbers that have more than one decimal representation are all rational numbers that have a recurring decimal representation, such as 1/3 = 0.3333...