JEE MATHEMATICS MCQ: LIMITS

1 Hard

1 of 1

Analyzing +4 | -1

The set of all values of

a

for which

\lim \limits_{{x \rightarrow a}}([x-5]-[2 x+2])=0

, where

[\propto]

denotes the greatest integer less than or equal to

\propto

is equal to

View answer and explanation

Correct option: D

(-7.5,-6.5)

Option D ((

-7.5, -6.5

)) is correct because the set of values for which the limit equals zero is the open interval between -7.5 and -6.5.

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