#Calculus - Limits and Values

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south temple
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18

desert condor
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@potent karma it must be given that the function is continuous or is polynomial

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For with the limit value is equal to the actual f(x) value

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lim x-> -5 f(x) = f(-5)

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only then we can answer the question that the answer must be 18

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Because f(x) is continuous at all points

potent karma
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ohh

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so if we’re not given that the line is continuous then we cant figure out the value?

desert condor
potent karma
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wait how would the answer be 18?

desert condor
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Continuous function basically means that there is no break in the graph of f(x) then its continuous.

potent karma
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ohh

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wait

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doesnt the limit have to EQUAL the value?

desert condor
desert condor
potent karma
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like

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wait i don’t understand myself

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i think i get it!

desert condor
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lim x-> -5 f(x) = f(-5) = 18

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If f(x) is continuous

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I hope i helped

potent karma
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like this?

desert condor
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1st graph is continuous

potent karma
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so we need to know that it’s continuous to get our answer

desert condor
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2nd graph is not continuous

desert condor
potent karma
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OKAY i think i get it now

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thank you so much!!!

desert condor
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Welcome