   Chapter 12.1, Problem 67E

Chapter
Section
Textbook Problem

# Finding a Limit In Exercises 65-70, find the limit (if it exists). lim t → 0 ( e t i + sin t t j + e − t k )

To determine

To calculate: The limit of the specified vector valued function limt0(et i+sintt  j+etk).

Explanation

Given:

The expression is: limt0(et i+sintt  j+etk)

Formula used:

If c be a real number, then limxcf(x)=f(c). And,

limn0sinnn=1

Calculation:

Consider, r(t)=et i+sintt  j+etk

In order to evaluate the limit of a vector valued function, determine the limit of each component

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