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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?9. Find the value of a such that exists and find the limit. limx-> -1 (2x2-ax-14)/(x2 -2x-3)Using the elpison delta defination of a limit prove that the limit of (5x+7)=2 as x approaches -1 exists
- Evaluate the limit lim n→ ∞ √( 9n^4)+13n^3-5n-10 / -√( 25n^16)+5n^2-9n Also find the asymptotic value of above limitEvaluate the limit limx→2(1x−2−4x2−22)limx→2(1x−2−4x2−22) Enter I for ∞∞, -I for −∞−∞, and DNE if the limit does not exist. Limit =Determine the infinite limit. limit as x approaches 3 from the right side of ln(x2-9)
- 1.3 Evaluate the limit limz→2+i[(z-1)(3-2i)+1-3i] and use the definition of the limit (ε - δ) to verify this limit.4. Find the limit, if it exists, or show that the limit does not exist: lim(x,y)→(1,−1) 3^−xy cos(x + y)Define x0, x1, x2, as follows: xk = 2 + xk − 1 for each integer k ≥ 1 x0 = 0 Find lim n → ∞ xn. (Assume that the limit exists.)
- DRAW THE GRAPH OF A FUNCTION WHERE limr-a f(x) DOES NOT EXIST FOR SOME INTEGER a. EXPLAIN WHY THE LIMIT DOES NOT EXIST AT THAT POINT.Find the limit. lim x--> infinity e3x+5/4e3x+ex-7Suppose that ƒ(x) and g(x) are defined for all x and that limxSx0ƒ(x) = -5 and limxSx0 g(x) = 1. Find the limit as xS x0 of thefollowing functions