The decimal expansion of is called

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Terminating

Non terminating and non-recurring

Non-terminating and recurring

Does not exist

answer is B.

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Detailed Solution

Concept-
Use information about the terms specified in the options to clarify them. Also, understand the differences between them and solve the problem. For example, what exactly do you mean by ending and not ending, and repeating and non-repeating
It is known that π is an irrational number, which has a decimal extension that is neither terminates nor periodic.
The repeat that follows the decimal point distinguishes some numbers as recurring, whereas others, such as 4.235522..., are referred to as non terminating. For instance, the recurring number 2.33333... can be written as 2.3 . 3, which is repeated here. We'll now think about the number. has a value of 3.1415926536. Because there is no recurrence in this number, it is evident that it is non-terminating and non-recurring.
Hence, the correct answer is option 2) Non terminating and non-recurring

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