If x ever actually gets to 1, the expression becomes undefined—zero over zero. But if you
cancel out the (x − 1) from the top and bottom:you can plug in x = 1 and find the limit:40 . C
Don’t try to figure out an equation to fit this weird graph. Just read the values right off the
graph. First, find f(3). Go to +3 on the x-axis and see what y is there. It’s −2. Now find f(−2). Go
to −2 on the x-axis and see what y is there. It’s 0:41 . D
The first term is 2^1 and the third term is 2^3 , so the 40th term is 2^40 . Use your calculator and
you’ll get an answer in scientific notation something like this:1.0995 E12
That is,1.0995 × 10^12
That’s 1 followed by 12 digits, for a total of 13 digits.42 . E
The length of OA is 3, and the length of OB is . OA over OB is the tangent of
the angle you’re looking for: