Answered: 10 – x – x2 if x < 4 Let f(x) = \ 2x -…

10 – x – x2 if x < 4 Let f(x) = \ 2x - — 5 if x > 4 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x →4 lim f(x) = x →4 lim f(x) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

10 — ӕ — г? if x< 4
-
Let f(x)
2х — 5
if x > 4
Calculate the following limits. Enter "DNE" if the
limit does not exist.
lim
f(x) =
x →4-
lim
f(x) =
x →4+
lim
f(x) =
x →4

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