# Suppose f(x) is even function. if f(x) is continous at a, show f(x) continuous at -a ?

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Jim S
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Mar 9, 2018

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#f# even means: for each#x# #in# #RR# ,#-x# #in# #RR#

#f# continuous at#x_0=a# #<=># #lim_(x->a)f(x)=f(a)#

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Sam F.
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Feb 24, 2018

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I'm not 100% sure about this, but this would be my answer.

The definition of an even function is

Therefore,

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