Q. # 7 Source: Stewart Ed. 8 A tank contains 5000 litres (L) of pure water....

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Q. # 7 Source: Stewart Ed. 8 A tank contains 5000 litres (L) of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The salt concentration after / minutes (in g/L) is given by the function C(t) at the right. What happens to the concentration over a very long time (i.e. as 1 )? |C(t)= 301 200+t Final Answer TRIG LIMITS: If direct substitution doesn't work, most trig limits can be solved by expressing the limit as a product of these special trig limits. sin.x Lim =1, so also Lim 1 x 1-cos.x x 0 sin x cosx1 x 1 Lim X-0 =0, so Lim- 0, BUT Lim x x 0 X x-01-cosx so useless! 0 SQUEEZE THEOREM is used for some proofs in the teaching videos, but will not be tested. Q#8 Please evaluate the following limits, without using L'Hpital's Rule. a) x Lim x/6 sin 3x b) Lim 10 Final Answer Final Answer 1+2 sint c) Lim x 0 sin 6.x x Final Answer Q. # 7 Source: Stewart Ed. 8 A tank contains 5000 litres (L) of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The salt concentration after / minutes (in g/L) is given by the function C(t) at the right. What happens to the concentration over a very long time (i.e. as 1 )? |C(t)= 301 200+t Final Answer TRIG LIMITS: If direct substitution doesn't work, most trig limits can be solved by expressing the limit as a product of these special trig limits. sin.x Lim =1, so also Lim 1 x 1-cos.x x 0 sin x cosx1 x 1 Lim X-0 =0, so Lim- 0, BUT Lim x x 0 X x-01-cosx so useless! 0 SQUEEZE THEOREM is used for some proofs in the teaching videos, but will not be tested. Q#8 Please evaluate the following limits, without using L'Hpital's Rule. a) x Lim x/6 sin 3x b) Lim 10 Final Answer Final Answer 1+2 sint c) Lim x 0 sin 6.x x Final Answer