Question

please answer!!!!!!!!!​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1

Step-by-step explanation:

f (x) = [x] is a discontinuous function also called as 'step function'.

This function is defined as, [x] give the largest integer which is less than x.

Graphing the Greatest Integer Function.

Coming to the question, lim (as x ---› 2) [x] = ?

The answer is that limit doesn't exist for this question.

Take f (x) = [x]

lim (x ---› 2) f (x) = lim ( ---› 0) f (2+) = lim ( ---› 0) f (2 -)

lim ( ---› 0) f (2+) = [2+] = 2

lim ( ---› 0) f (2-) = [2-] = 1

Since these two are not equal, the limit doesn't exist.