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23 Nov 2021

Given information

The value of the limit is 2.

The given values of  are and .

Step-by-step explanation

Step 1.
  • The definition 2 states that if  is a function defined on some interval . Then means that for every there is a corresponding number such that if  then .
  • The value of  is .
  • It is given that , therefore the values of and are 2 and respectively.
  • Therefore, by the definition of limit  if then that is if  then .
  • Solve the inequality by using the fact that if  then .

 

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