MATH 110 MIDTERM EXAM WITH CORRECT ANSWERS 2025

MATH 110 MIDTERM EXAM WITH
CORRECT ANSWERS 2025

Substitution yields ( correct answers ) Factor, conjugate, trig
0/0
Substitution yields ( correct answers ) Plug limit for right and
3/0 left
Constant Multiple ( correct answers ) lim x-a [cf(x)] = clim x-a
Law f(x)
Power Law ( correct answers ) lim x - a [[f(x)]^n] = [lim x-a f(x)]^n

7 ( correct answers ) lim x-a c

= c lim x-a x = a ( correct

answers ) 8

9 ( correct answers ) if n is
positive int - lim x-a x^n=a^n

10 ( correct answers ) if n
is positive int - lim x-a
nthsqrtx = nthsqrta

Root law ( correct answers ) if n is positive int - lim x-a nthsqrtf(x) =
nthsqrt lim- af(x)

Vertical asymptote ( correct answers ) lim x-a f(x) DNE, x-a, graph never
touches, #/0, may have more than 1

Horizontal asymptote ( correct answers ) lim x-oo f(x) = L = limx--oo f(x),
x-+-oo, may pass through, determined with limits, may have 0,1, or 2

Discontinuities ( correct answers ) Removable, jump, infinite

Intermediate Value Theorem ( correct answers ) Guarantees one

number Velocity ( correct answers ) Change in

position over time

Speed ( correct answers ) Absolute value of velocity

Instantaneous Velocity ( correct answers ) lim h-0 f(x+h)-

f(x)/h

Formal definition of a derivitive ( correct answers ) f'(x) = lim h-0

f(x+h)-f(x)/h Power Rule ( correct answers ) f'(x)=nx^(n-1)