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Chapter 1: Q. 41 (page 149)

Calculate each limit in Exercises 35-80.

limx鈫�鈭�-3x5+4x+11

Short Answer

Expert verified

The limit of given function islimx鈫�鈭�-3x5+4x+11=-鈭�.

Step by step solution

01

Step 1. Given information.

We have:

limx鈫�鈭�-3x5+4x+11

02

Step 2. Find the limits.

The function is limx鈫�鈭�-3x5+4x+11.

Apply infinity property: limx鈫�鈭�axn+鈰�+bx+c=-鈭�,鈥�a<0,鈥�n鈥�is鈥�odd

a=-3,鈥�n=5=-鈭�鈥�

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Most popular questions from this chapter

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 localid="1648023101818" x鈭�(c-未,c)鈭�(c,c+未)thenf(x)鈭�(L-蔚,L+蔚)

localid="1648023199049" role="math" limx鈫�-1x2-2x-3x+1=-4,蔚=1

Write each of the inequalities in interval notation:

0<|x-2|<0.1

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�-5x.

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�1(3x+8)=11

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�3x2-6x+11=2.
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