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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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