ANS: (d) |z - 3| lim 243- 12 6 - ANS: -

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Only have to do is part D
Limits and continuity | AP
O YouTube
S Old MT1
=0(3).pdf
1 / 2
Math 21A Fall 2013 Solutions for Midterm 1, October 18.
Please do not use any calculators, cell phones or books.
Recall
sin(x)
lim =
1. (6 points) Evaluate the following limits if they exist:
(a)
3x2 + sin(x)
lim
¤(x + 5)
I00
ANS: 3
(b)
3x2 + sin(x)
lim
T(x + 5)
ANS:
(c)
9+h-3
lim
h0
h
ANS:
(d)
|z – 3|
lim
2+3- 12 -9
ANS: -
2. (3 points) Match two pairs of the below that are the same: Assume that
f(0) = f(10) = 0 but ƒ(x) has no other roots.
(a) \f'(10)|
(b) The slope of the curve y = f(z) at the origin.
(c) The speed in feet per second at which an object hits the ground if it
is thrown up from the ground and f(t) is its height (in feet) t seconds
after it is thrown.
(d) lim,-so )
(e) f"(0)
ANS: a-e and bd
3. (3 points) The graphs below are y = f(z), y = f'(x), y = g(x) and
v= g (z). If f (0) > g(0) idetify the four.
ANS:
(a) y- f'(z)
(b) v- g(z)
(c) y=g'(x)
(d) w = f(x)
Transcribed Image Text:Limits and continuity | AP O YouTube S Old MT1 =0(3).pdf 1 / 2 Math 21A Fall 2013 Solutions for Midterm 1, October 18. Please do not use any calculators, cell phones or books. Recall sin(x) lim = 1. (6 points) Evaluate the following limits if they exist: (a) 3x2 + sin(x) lim ¤(x + 5) I00 ANS: 3 (b) 3x2 + sin(x) lim T(x + 5) ANS: (c) 9+h-3 lim h0 h ANS: (d) |z – 3| lim 2+3- 12 -9 ANS: - 2. (3 points) Match two pairs of the below that are the same: Assume that f(0) = f(10) = 0 but ƒ(x) has no other roots. (a) \f'(10)| (b) The slope of the curve y = f(z) at the origin. (c) The speed in feet per second at which an object hits the ground if it is thrown up from the ground and f(t) is its height (in feet) t seconds after it is thrown. (d) lim,-so ) (e) f"(0) ANS: a-e and bd 3. (3 points) The graphs below are y = f(z), y = f'(x), y = g(x) and v= g (z). If f (0) > g(0) idetify the four. ANS: (a) y- f'(z) (b) v- g(z) (c) y=g'(x) (d) w = f(x)
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