Math 171
Final (Version 3)
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1. Find the limits (16)
(a). limx
4x 2 3
x2 +x6 ;
(c). limx1
1
lnx
x
2x+2
;
2x+1
sin(x+2)
limx2 2x+4 .
(b). limx
1
x1
;
(d).
2. Find the derivatives of y = f (x) with respect to x (16)
x
(a). f (x)
Math 171
Final (Version 2)
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1. Find the limits(16)
x6 +5
(a). limx 2x3 1 ;
x4
|x4| ;
(
limx1 sin2x1) .
x 1
(b). limx4
(c). limx0 (x2 )1cos x ;
(d).
2. Find the derivatives of y = f (x) with respect to x (16)
(a). f (x) = x(csc
Math 171
Final (Version 1)
Name.SSN.Score.
Show all work
1. Find the limits (16)
2
(a). limx 4x 3 ;
x
(c). limx0+ (sin x)sin x ;
2
x
(b). limx1 x x2 ;
21
sin(x2)
(d). limx2 x2 4 .
2. Find the derivatives of y = f (x) with respect to x (16)
x
(a). f (x) =