Question

5. Evaluate the following limits : (a) $\lim_{x \to -4} \frac{x^2+5x+4}{x^2-5x+6}$ (b) $\lim_{x \to \infty} \frac{x^2-1}{x^2-3x-4}$ (8pts) 6. Find 2 numbers whose difference is 152 and whose product is a minimum. (Write out the solution) (10pts) 7. Find f if f"(x) = 2 + x³ + x? (8pts)

          5. Evaluate the following limits :
(a) $\lim_{x \to -4} \frac{x^2+5x+4}{x^2-5x+6}$ (b) $\lim_{x \to \infty} \frac{x^2-1}{x^2-3x-4}$ (8pts)
6. Find 2 numbers whose difference is 152 and whose product is a
minimum. (Write out the solution) (10pts)
7. Find f if f"(x) = 2 + x³ + x? (8pts)

5. Evaluate the following limits :
(a) limx → -4(x^2+5x+4)/(x^2-5x+6) (b) limx →∞(x^2-1)/(x^2-3x-4) (8pts)
6. Find 2 numbers whose difference is 152 and whose product is a
minimum. (Write out the solution) (10pts)
7. Find f if f"(x) = 2 + x³ + x? (8pts)

Added by Christina F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Avinash Vishwakarma

Step 1

(a) To evaluate the limit as x approaches infinity of (5x+4)/(x^2-1), we can divide both the numerator and denominator by x^2. This gives us (5/x + 4/x^2)/(1 - 1/x^2). As x approaches infinity, both 5/x and 4/x^2 approach 0, and 1/x^2 approaches 0. Therefore, the Show more…

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Please answer all the questions! I will give a 5-star rating! 5. Evaluate the following limits: (a) lim(xâ†’âˆž) (5x+4)/(x^2-1) (b) lim(xâ†’0) (-4x^2-5x+6)/(x+5) 6. Find two numbers whose difference is 152 and whose product is a minimum. (Write out the solution) 7. Find f'(x) if f(x) = 2+x^3+x^6 8. Evaluate the following limits: (a) lim(xâ†’0) (x^2+3x)/(x+2) (b) lim(xâ†’âˆž) (3x^2-2x)/(4x^2+5)