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4 Cards in this Set
- Front
- Back
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If function is continuous, then simply plug in the value for x |
Ex: lim (x-4)=5 x→9 lim sin(x)=sin(1) x→1 lim e^x=e^2 x→2 |
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If taking a lim x→∞ of a fraction, divide each term by the highest power of the variable |
Ex: lim 2x³ + 3x² −14x −2/ x³ x→∞
= lim [2+ (3/x) − (14/x²) − (2/x³)]/ 1 x→∞ = [2 + 0 − 0 − 0]/ 1 =2 |
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Factor polynomials to cancel factors which tend to 0 |
Ex: lim (x² − 9)/ (x + 3) x→-3 = lim [(x+3)(x−3)]/ (x+3) x→-3 = lim (x − 3) x→-3 = -6 |
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Limits to Memorize |
lim 1/x DNE x→0 lim 1/x = 0 x→∞ lim sin(x)/x = 1 x→0 lim [cos(x) − 1]/x = 0 x→0 |
