Study questions platform-wide or filter by specific tests with correct answers revealed.
A business charges straight-line depreciation on property. At the start of the year, the property was revalued upward with remaining useful life unchanged. What changes occur compared to the previous year?
| Option | Carrying Value | Expenses (Depreciation) |
|---|---|---|
| A | Decrease | Decrease |
| B | Decrease | Increase |
| C | Increase | Decrease |
| D | Increase | Increase |
Option D is correct.
- Carrying value increases — asset recorded at the higher revalued amount.
- Depreciation increases — higher value depreciated over same remaining life gives a larger annual charge.
Let $p = \displaystyle\lim_{x\to0^+}\left(1+\tan^2\sqrt{x}\right)^{\frac{1}{2x}}$. Find $\ln p$.
This is a $1^\infty$ indeterminate form. Take logarithm:
$\ln p = \lim_{x\to0^+}\dfrac{\ln(1+\tan^2\sqrt{x})}{2x}$
Let $t=\sqrt{x}$, so $x=t^2$, $x\to0^+$ means $t\to0^+$:
$= \lim_{t\to0^+}\dfrac{\ln(1+\tan^2 t)}{2t^2} = \lim_{t\to0^+}\dfrac{\tan^2 t}{2t^2} = \dfrac{1}{2}$
(using $\ln(1+u)\approx u$ for small $u$ and $\lim_{t\to0}\frac{\tan t}{t}=1$)
For all real numbers $a$, let $a^* = 1 - a$.
Compare:
Column A: $((-1)^*)^*$
Column B: $2^*$
Using the definition $a^* = 1 - a$:
Step 1: $(-1)^* = 1 - (-1) = 2$
Step 2: $((-1)^*)^* = (2)^* = 1 - 2 = -1$
Column A $= -1$
Column B: $2^* = 1 - 2 = -1$
Both quantities equal $-1$, so the two quantities are equal.
Sign in to join the conversation and share your thoughts.
Log In to Comment