1. Find the value of the expression lim x²+x+21 X-3 x-1

lim x---4, x - 4/x2 - 8x + 16

Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

(d). Lim    x +6x3     x →0   4x + 7x²

P(x)=92x-x^2-1760 find limx->40 P(x)

Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

FIND VALUE OF X SUB 2.

??????? ? (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞                         During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x/100 - x million dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (c) Determine the values of x for which the function f(x) = {2x2 – 4       x < 2           {x + 2          2 < x > 5            {7                x ≥ 5 is…

Find vertical asymptote, x intercept and y intercept of (x+1)(x-5)/(x-6)

Show that 13x - 12 can be made as small as desired by taking x close to 4. lim (7x - 4) = 10x➔2