   Chapter 12.1, Problem 66E

Chapter
Section
Textbook Problem

# Finding a Limit In Exercises 65-70, find the limit (if it exists). lim t → 1 ( t i + ln t t 2 − 1 j + 1 t − 1 k )

To determine

To calculate: The limit of the vector valued function limt1(t i+lntt21j+1t1k).

Explanation

Given:

The expression: limt1(t i+lntt21j+1t1k).

Formula used:

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

Calculation:

Consider, r(t)=t i+lntt21j+1t1k

To evaluate the limit of a vector valued function, determine the limit of each component.

Therefore,

limt1(t i+lntt21j+1t1k)

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