Since lim x* = 0, we conclude, from the limit laws, that X-0 = 0 lim [x* - cos() = ( lim x) · im lim cos( 0. lim cos( Lx→0 Lx-0

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A student writes the following statement for why the limit is equal to zero (refer to image attached). Explain why the statement is incorrect, and how to correct it. 

 

 

Since lim x* = 0, we conclude, from the limit laws, that
X-0
= 0
lim [x* - cos()] :
= ( lim x*) · lime
lim cos
= 0. Tlim cos
X-0
x-0
Transcribed Image Text:Since lim x* = 0, we conclude, from the limit laws, that X-0 = 0 lim [x* - cos()] : = ( lim x*) · lime lim cos = 0. Tlim cos X-0 x-0
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