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Math 121 Final Exam Worksheet
1. Evaluate the limits:
a lim x²-2x+1 xx-2x+x
b. limsin-cos (tanx) 2
lim Sh²+6h h2h²+3h+1000
d. lim X xx-6
lim sin x
. lim1 P
glim (csex-cot.x) 30
h. lim In x 2
i. lim xe
j. lim xe
k. lim COS X → tan x
1. lim (1+2x) 3
2. Find the equation of the tangent line to f(x)=(2x+3) at x=2.
3. Given f(x)= 1 2-x find f(x) using the definition of a derivative.
4. Find the instantaneous rate of change to y=3x-x at x=3.
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