Limits (An analytical approach)

Polynomial function P(x)

$$\lim_{x\rightarrow c}P\left(x\right)=P\left(c\right)$$

(check the appropriate box)

Polynomial function P(x)

Graph of P(x)

(check all that apply)

$$\lim_{x\ \rightarrow\ 9}\ \left(4\ x^4-37\ x^3+12\ x^2-32\ x+38\right)=N$$  

Submit $$N$$  

(a)  

Polynomial function P(x)

Point $$\left[c,P\left(c\right)\right]$$ lies on the graph of P(x)

ALGEBRA term: $$word$$ point

Submit $$word$$ (small letters)

(a)  

$$\lim_{x\ \rightarrow\ 18}\sqrt{39\ x+82}\ =N$$  

Submit $$N$$  

(a)  

A limit (if it exists) is a(n)

L'Hopital's Rule can be utilized to evaluate the limit of a polynomial function as x approaches c.

Which limit(s) can be found by direct substitution?

(check all that apply)

$$\lim_{x\ \rightarrow\ \frac{5\ \pi}{4}}\ \left[\ \cot\left(x\right)\ \sin\left(x\right)\ \right]=N$$

Polynomial function P(x)

Point $$\left[c,P\left(c\right)\right]$$ lies on the graph of P(x)

CALCULUS term: point of $$word$$

Submit $$word$$ (small letters)

(a)