SAT Subject Test Mathematics Level 2

Learn the rules of logarithms if you want to be sure to get a possible logarithms question right. But
don’t be afraid to ignore logs and to skip the logs question if you get one.

LIMITS

If you see a limits question like Example 11, forget about abstract theorems and calculus. There’s a
standard approach to a question like Example 11.

Example 11

LIMIT OF AN ALGEBRAIC FRACTION

To  find    a   limit   of  an  algebraic   fraction,   first   factor  the numerator   and denominator and

cancel  any factors they    have    in  common. Then    plug    in  and evaluate.

If you just try to plug x = 3 into the expression and evaluate it, you’ll end up with zero over zero,
which is undefined. The trick is first to factor the numerator and denominator and then to cancel
factors they have in common:

1.

(A) – 7

(B)

(C) 0

(D)

(E) The limit   does    not exist.