Calculate the limit of f (-4), Mathematics

Assignment Help:

Let's take a look at one more example to ensure that we've got all the ideas about limits down that we've looked at in the last couple of sections.

Example: Given the below graph,

59_limit23.png

calculate each of the following.

(a)    f (-4)

(b)    81_limit24.png

(c) 2047_limit25.png

Solution

(a)  f (-4) doesn't exist. There is not any closed dot for this value of x and therefore the function doesn't exist at this.

(b)  1431_limit26.png The function is approaching value of 2 as x moves towards -4 from the left

(c)  448_limit27.pngThe function is approaching value of 2 as x moves towards -4 from the right.


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