today im teaching you about infinite limits. although this sounds hard it is really easy. it is easier then most stuff we have done this year. if you have a fraction with 2 polynomials divided use these rules... 1) (degree) top = (degree) bottom lim x --> (infinity) = lead coeff. / leading coeff. 2) (degree) top > (degree) bottom lim x --> (inifity) = +/- (infinity) 3) (degree) top < (degree) bottom lim x --> = 0. if it doesn't follow rules... 1) plug into y= 2) 2nd table 3) plug in 10|100|1000|10000 until you see pattern. 4) E +ve # = + or - inf E -ve # = 0. if it is geometric 1) |r| < 1 then = 0 if |r| > 0 = (infinity)
EX: lim n --> (infinty) n+5/ n
look at all the rules
top = bottom
1/1 = 1
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