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Maths-

General

Easy

Question

$Lt subscript x not stretchy rightwards arrow 2 end subscript space log subscript 10 space open square brackets x to the power of 6 plus square root of x squared plus 1292 end root close square brackets$

1
2
0
6

hint Hint:

A limit of a function is a number that a function reaches as the independent variable of the function reaches a given value.

The correct answer is: 2

$limit as x rightwards arrow 2 of space log subscript 10 space open square brackets x to the power of 6 plus square root of x squared plus 1292 end root close square brackets equals log subscript 10 space open square brackets 2 to the power of 6 plus square root of 2 squared plus 1292 end root close square brackets equals log subscript 10 space open square brackets 64 plus square root of 4 plus 1292 end root close square brackets equals log subscript 10 space open square brackets 64 plus square root of 1296 close square brackets equals log subscript 10 space open square brackets 64 plus 36 close square brackets equals log subscript 10 space open square brackets 100 close square brackets equals log subscript 10 space open square brackets 10 squared close square brackets equals 2$

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