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Hello, I have 3 homework problems I need help with.
lim. (3/t - 3/ t2+t)
x->0
Step by step
Solved in 2 steps
- ??????? ? (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…How would you figure out the lower and higher limit for these 3 problems?Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.
- 4. Find Lim?→0^+ (1/(e^x - 1) - 1/x)Evaluate the following: 1. lim √(6-y) - 2 y-> 2- y2 - 4 y + 4 2. lim |2t-1| - |2t+1| t-> 0- |t|3. lim ( v2 [[v]] - |v-4| ) v-> 2-4. lim [[x]] - |x| x-> 0+ [[x]] + 1Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.
