The x y-coordinate plane is given. The curve with two parts enters the window in the second quadrant just above the x-axis, goes up and right getting more steep, passes through the point (−7, 7), exits the window in the second quadrant nearly vertically to the left of the y-axis, reenters in the first quadrant nearly vertically to the right of the y-axis, goes down and right getting less steep, crosses the x-axis at x = 7, and exits the window in the fourth quadrant nearly horizontally above y = −7. (a) lim  x→−7  f(x)   (b) lim  x→0+  f(x)   (c) lim  x→0−  f(x)   (d) lim  x→0  f(x)   (e) f(0)   (f) lim  x→+∞  f(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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The x y-coordinate plane is given. The curve with two parts enters the window in the second quadrant just above the x-axis, goes up and right getting more steep, passes through the point (−7, 7), exits the window in the second quadrant nearly vertically to the left of the y-axis, reenters in the first quadrant nearly vertically to the right of the y-axis, goes down and right getting less steep, crosses the x-axis at x = 7, and exits the window in the fourth quadrant nearly horizontally above y = −7.

(a)

lim 

x→−7 

f(x)

 

(b)

lim 

x→0+ 

f(x)

 

(c)

lim 

x→0− 

f(x)

 

(d)

lim 

x→0 

f(x)

 

(e)

f(0)

 

(f)

lim 

x→+∞ 

f(x)

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