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Mathematics 18 Online
OpenStudy (anonymous):

lim x goes to 1 [(1+3x)/1+4x^2+3x^4]^3

OpenStudy (anonymous):

give me the answers with the steps.. thanks

hartnn (hartnn):

u can directly put x=1, in that function as it does not lead to any indeterminate form

terenzreignz (terenzreignz):

Follows from continuity...

terenzreignz (terenzreignz):

And the fact that the denominator is not 0 at x = 1

OpenStudy (anonymous):

is 64/216 the answer ?

terenzreignz (terenzreignz):

Could you show how you got that?

OpenStudy (anonymous):

[1+3(1)]^3 = 64

terenzreignz (terenzreignz):

mhmm... and the denominator?

OpenStudy (anonymous):

512 (1+4+3)^3

terenzreignz (terenzreignz):

That's right.... so 64/512... this is....?

OpenStudy (anonymous):

1/8 .. is that the answer ???

terenzreignz (terenzreignz):

You got it :)

OpenStudy (anonymous):

thanks

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