Question

1) Evaluate the following limits: a) \( \lim _{x \rightarrow \infty} \frac{2 x^{4}+5 x}{3 x^{4}+x^{2}-7} \) (4 pts.) b) \( \lim _{x \rightarrow \infty} \frac{4 x^{2}+2}{x-3} \) (3 pts.) c) \( \lim _{x \rightarrow 3} \frac{x-3}{x^{2}-4 x+3} \) (3 pts.)

          1) Evaluate the following limits:
a) \( \lim _{x \rightarrow \infty} \frac{2 x^{4}+5 x}{3 x^{4}+x^{2}-7} \) (4 pts.)
b) \( \lim _{x \rightarrow \infty} \frac{4 x^{2}+2}{x-3} \) (3 pts.)
c) \( \lim _{x \rightarrow 3} \frac{x-3}{x^{2}-4 x+3} \) (3 pts.)

1) Evaluate the following limits:
a) limx →∞(2 x^4+5 x)/(3 x^4+x^2-7) (4 pts.)
b) limx →∞(4 x^2+2)/(x-3) (3 pts.)
c) limx → 3(x-3)/(x^2-4 x+3) (3 pts.)

Added by Katherine C.

Calculus: One and Several Variables

Saturnino L. Salas, Garret J. Etgen,… 10th Edition

Chapter 2

Instant Answer

Solved by Expert Ekaveera Kumar

Step 1

To evaluate this limit, we divide the numerator and the denominator by \( x^4 \), the highest power of \( x \) in the denominator. \[ \lim _{x \rightarrow \infty} \frac{2 x^{4}+5 x}{3 x^{4}+x^{2}-7} = \lim _{x \rightarrow \infty} \frac{\frac{2 Show more…

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