Question

If k be an integer, then `lim_("x" -> "k") ("x" - ["x"])` ____________.

विकल्प

• is equal to – 1

• is equal to 0

• 1

• does not exist

Answer 1

If k be an integer, then `lim_("x" -> "k") ("x" - ["x"])` 1.

Explanation:

`=  lim_("x" -> "k") ("x" - ["x"])`

`=  lim_("x" -> "k") "x"  - lim_("x" -> "k")["x"]`

`=  "k" - ("k" - 1) = 1` for all `"x" in ("k" - 1, "k")`