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Chapter 2: Q. 2TB (page 183)

Limit calculations: Find each of the following limits.

limh鈫�012+h-0.5h

localid="1648442008841" limz鈫�2z2-4z-2

limz鈫�4(1-3z)+11z-4

limz鈫�11z-1z-1

Short Answer

Expert verified

The limit values are:

Step by step solution

01

Part(a) Step1.Given Information

Given limit :limh鈫�0(1-h)-1h.

02

Step2.The solution 

The solution=limh鈫�0(1-h)-1h=limh鈫�01-h-1h=limh鈫�0-hh=-1.

03

Part(b) Step1.Given information 

Given limit:limh鈫�0(3(-1+h2)+1)-4h.

04

Step 2.The solution

The solution:=limh鈫�0(3(-1+h)2+1)-4h=limh鈫�0(3(h2-2h+1)+1)-4h=limh鈫�03h2-6h+3+1-4h=limh鈫�03h2-6h+4-4h=limh鈫�0h(3h-6)h=3(0)-6=-6.

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