+∞o Suppose Στ% από = 5. What is the value of lim an? n-0
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A: We use substitution and Laurent series expansion.
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A: We will use a standard result to decide whether given statement is true or false.
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- 4. Find Lim?→0^+ (1/(e^x - 1) - 1/x)Given lim (4x-3) as x approaches 1. Use the definition of a limt to find a number delta such that the absolute value of x-a is less than delta when the absolute value of f(x)-L is less than 0.08A company training program determines that, on average, a new employee can produce N( t) pieces of work per day after t days of on-the-job training, where N(t)=(87+42t)/t+6. Find lim s-9 N( t).
- ??????? ? (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 the limit Lim t->3 ( square root 3 - t i + ln(t) - 1/t k)f'(x) = (x-1)(x-2)(x-3)(x-4) What can be said about lim(x->infinity) if anything?
