Limits

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Limits

2. Limits to Infinite

2.1. a=b) Lim x->inf M/N

2.1.1. (3x^2 + 5x -2)/(2x^2 + 7x -7) look for the bisggest exponent everything else with a lower exponent will become a zero (It'll cancel) and use its coefficient as "a" and "b" 3/2

2.2. a>b) Lim x-> UNDFINED

2.2.1. (3x^3 + 5x -2)/(2x^2 + 7x -7) look for the bisggest exponent everything else with a lower exponent will become a zero (It'll cancel) and use its coefficient as "a" and "b"(3/0) = UNDEFINED

2.3. a<b) Lim x-> 0

2.3.1. (3x^2 + 5x -2)/(2x^3 + 7x -7) look for the bisggest exponent everything else with a lower exponent will become a zero (It'll cancel) and use its coefficient as "a" and "b" (0/2) = 0

4. Grapically

4.1. If "x" tends to "#", then "y" tends to "#"

4.1.1. If you have a graph and given value of "x" just search for the "y" value using the rule in the bottom.

5. Numericallly

5.1. X+0.001 and X-0.001, Simplify then replace, solve, then get the average.

5.1.1. (x^2 +2x -35)/(x-5) when Lim x->5 use 4.999 and 5.001 as values for x. Simplify the equation and then replace (x+7) = (4.999+7) = 11.999 (5.001+7) = 12.001 Get the average 12

6. Algebraically

6.1. First simplify. then replace and solve.

6.1.1. (x^2 +2x -35)/(x-5) when Lim x->5 simplify equation (x+7) then replace for the valur of "x" (5+7) = 12