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Chapter 1: Q. 49 (page 136)

limx鈫�43e1.7x+1

Short Answer

Expert verified

limx鈫�43e1.7x+1=2694.5

Step by step solution

01

Step 1. Given information

limx鈫�43e1.7x+1

02

Step 2. Plug in the values 

limx鈫�43e1.7x+1=3e1.7脳鈥�4+1

limx鈫�43e1.7x+1=2694.5

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Most popular questions from this chapter

For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx鈫�-5(3x-2).

For each limit statement , use algebra to find 未 > 0 in terms of 蔚> 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < 蔚.

limx鈫�31x=13;youmayassume未鈮�1

In Exercises 39鈥�44, use Theorem 1.16 and left and right limits to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity.

f(x)=x+1,ifx<13x-1,if1猢�x<2x+2,ifx猢�2.

For each limit limx鈫�cf(x)=Lin Exercises 43鈥�54, use graphs and algebra to approximate the largest value of 未such that if x鈭�(c-未,c)鈭�(c,c+未)thenf(x)鈭�(L-蔚,L+蔚).

role="math" localid="1648027918805" limx鈫�2x3=8,蔚=0.5

Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.

limx鈫�-1-f(x)=2,limx鈫�-1+f(x)=2,f(-1)=1.
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