approaches so the value of the whole expression approaches −1.
38 . B
Use the formula for the sum of an infinite geometric series. Here the first term a is 1 and the
ratio r is :
39 . B
Think about what happens to the indicated intercepts when all x’s are doubled and all y’s are
quadrupled. The x-intercepts become 2 and −2, and the y-intercepts become 4 and −4.
Choice (B) fits.
40 . B
To find the limit of this expression as n approaches infinity, think about what happens as n
gets extremely large. What happens is that the n^2 terms become so huge that they dwarf all
other terms into insignificance. So you can think of the expression as, in effect,
41 . E
If log 2 (x^2 − 3) = 5, then x^2 − 3 = 25 = 32:
42 . C
If 2 is a zero, then x − 2 is a factor. Factor that out of the polynomial 6 x^3 − 11x^2 − 3x + 2:
Now you have a quadratic equation: