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# Twelfth Grade (Grade 12) Limits Questions

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Describe the end behavior of $f(x)=2^x-3$.
1. $"As " x -> -oo, y-> -3; \ "as " x->oo, y->oo$
2. $"As " x -> -oo, y-> oo; \ "as " x->oo, y->oo$
3. $"As " x -> -3 , y-> oo; \ "as " x->oo, y->oo$
4. $"As " x -> -oo, y-> oo; \ "as " x->oo, y->-3$
Evaluate the limit. $lim_{x->5} (x^2 - 2x - 15)/(x^2 - 25)$
1. $0$
2. $4/5$
3. $1$
4. $1/2$
What is the limit of $f(x)=3x^3+2x^2$ as $x$ approaches 5?
1. $lim_(x->5)f(x)=425$
2. $lim_(x->5)f(x)=452$
3. $lim_(x->5)f(x)=542$
4. $lim_(x->5)f(x)=245$
Evaluate. $lim_{x->-2} (x+2)/(x^3+8)$
1. $1/6$
2. $1/12$
3. $1/4$
4. $0$
Evaluate. $lim_{x->0} (3x^3+2x^2) / x^2$
1. $5$
2. Undefined
3. $0$
4. $2$
Evaluate the limit. $lim_{x->9} (x-9)/(sqrt(x)-3)$
2. $0$
3. $3$
4. $6$
Evaluate the limit. $lim_{x->0} ((x-5)^2-25)/x$
2. $-10$
3. $oo$
4. $0$