5) Show that the function f(x) = {x³/ x2 if x < 1 if x ≥ 1 is continuous on the interval (-∞, ∞). 6) Compute the limit of the following as x approaches infinity. lim √√x²+1-x x-x 7) Find the horizontal and vertical asymptotes of the following. y = 2x²+x-1 x²+x-2

5) Show that the function f(x) = {x³/ x2 if x < 1 if x ≥ 1 is continuous on the interval (-∞, ∞). 6) Compute the limit of the following as x approaches infinity. lim √√x²+1-x x-x 7) Find the horizontal and vertical asymptotes of the following. y = 2x²+x-1 x²+x-2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.5: Polynomial And Rational Functions

Problem 41E

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Question

Calculus I

May I please have the solutions for the following questions?

Thank you,

5) Show that the function
f(x) = {x³/
x2
if x < 1
if x ≥ 1
is continuous on the interval (-∞, ∞).
6) Compute the limit of the following as x approaches infinity.
lim √√x²+1-x
x-x
7) Find the horizontal and vertical asymptotes of the following.
y =
2x²+x-1
x²+x-2

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