Composite Function Limit Procedure

Question

What is the correct sequence of steps for evaluating $$\lim_{x	o2} f(g(x))$$? Assume $$g(x)$$ is continuous and $$f(x)$$ has a removable discontinuity at the value of $$\lim_{x	o2} g(x)$$.

Accepted Answer

Evaluate $$\lim_{x	o2} g(x)$$, Substitute this limit into $$f(x)$$, Factor and cancel factors in $$f(x)$$ if necessary, Conclude the value of $$\lim_{x	o2} f(g(x))$$

Answer

Evaluate $$\lim_{x	o2} g(x)$$, Factor and cancel in $$f(x)$$ if necessary, Substitute the limit, Conclude the composite limit

Answer

Substitute $$\lim_{x	o2} g(x)$$ into $$f(x)$$, Evaluate $$\lim_{x	o2} g(x)$$, Factor and cancel in $$f(x)$$, Conclude the composite limit

Answer

Factor and cancel factors in $$f(x)$$ if necessary, Evaluate $$\lim_{x	o2} g(x)$$, Substitute the limit into $$f(x)$$, Conclude the composite limit

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	annika.h.seasholes	2	2	0m 36s	164
#2	arwa.vora2008	2	3	0m 43s	147
#3	bezgina.anfisa	1	1	0m 00s	100
#4	997catlovermma	1	1	0m 00s	100
#5	thetitaniumgamer360	1	1	0m 00s	100
#6	Derinchiay2013	2	2	1m 46s	94
#7	chuckp.0920	1	2	0m 00s	90
#8	jaisamma78	1	1	0m 13s	87
#9	tjiangaddie	1	1	0m 16s	84
#10	y.seong2027	1	1	0m 17s	83

Composite Function Limit Procedure

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