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A: Explanation of the answer is as follows
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A: Explained below
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- (a) for g(t)= t-9/square root t-3 . Make table of values with at least six appropriate inputs to evaluate the limits as t tends to 9. (b) make a conjecture about the value of lim t-9/square root t-3. t->91. Broadly speaking, what are the Limit Laws, and why do they help us calculate limits?2. In Example 3, there is a step where the function x2 − 1x − 1is changed to x+ 1. But unlike the secondfunction, the first function is undefined at x = 1. How can we justify changing functions this way?3. Explain the flaw in the following calculation:limx→0x2sin(1/x) = (limx→0x2) · (limx→0sin(1/x)) = 0 · (limx→0sin(1/x)) = 0.limit as x→−∞ 4/(e^x+7)=0 Enter the left-hand asymptote: y=
- Lim as h approaches 0=[5e^x - 5e^(x+h)]/[3h]=Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2)False. For example, the maximum off (x) = x 2 + 1 on [l, 2] is 5, occurring at x = 2, but f' (2) # 0. (c) True (d) False. For example, the function f (x) = 2x 2 - x 3 has a single local minimum on [-1, 3], at x = 0, but the absolute minimum on [ -1, 3] occurs at the endpoint x = 3.