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## Homework Statement

What will be lim[2sin(x-1)/(x-1)], where x tends to 1?

[ ] denotes greatest integer function.

## Homework Equations

Can I directly solve it using the formula sinx/x =1 when x tends to 0

## The Attempt at a Solution

Okay so the quantity inside [ ] can be written as ——>>2 sin(x-1)/(x-1).. And sin(x-1)/(x-1) should equAte to 1 and only 2 should be left inside the greAtest integer function and therefore the answer should be 2... But the answer is 1 what am I doing wrong please explain...