Answer: The correct option is (B) 60.
Step-by-step explanation: Given that the line BD is parallel ti the line XY.
We are to find the value of x.
We know that
if two parallel lines are cut by a transversal, then the measures of the alternate interior angles are equal.
In the given figure, BD is parallel to XY and they are cut by a transversal.
So, the angles with measures x° and 60° are alternate interior angles.
Therefore, we must have
Thus, the value of x is 60.
Option (B) is CORRECT.
In the limit
we're interested in the value that converges to as
gets closer to
. So in fact
.
In the given example, is factorized to reveal a common factor of
in the numerator and denominator. We have
if
, so
so we can simplify
and *remove* the discontinuity.
Then