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Calculus Early Transcendentals, Binder Ready Version
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Precalculus Enhanced with Graphing Utilities
- lim g(f(x))x->-2arrow_forwardLim f (x) = x → 2arrow_forwarddetermine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. If lim x→7 g(x) = 0 and lim x→7 f(x)/g(x) = 0 exists, then lim x→7 f(x) = 0. True. If lim x→7 f(x) is not equal to zero and lim x→7 g(x) = 0, then lim x→7 f(x)/g(x) does not exist. True. Any number divided by zero is equal to zero. False. Let g(x) = (x − 7) and f(x) = (x − 1)(x − 7). Then lim x→7 g(x) = 0 and lim x→7 f(x)/g(x) = 0 exists, but lim x→7 f(x) is not equal to 0. False. Divison by zero is not allowed. False. There is not enough information given to determine lim x→7 f(x)/g(x)arrow_forward
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- true or false questions. please explain why. . 1-if lim_{x->a} f(x)=∞ and y=g(x) is defined and bounded below on an interval containing a , then lim_{x->a} f(x)+g(x)=∞ 2- if 0≤a≤1/e , then the equation x.e^-x=a has a nonnegative solution. 3-suppose that a function y=f(x) is continuous on I=[a,b] and if the set f(I)=[f(a),f(b)], then y=f(x) is strictly increasing.arrow_forwards(x)= e 9/x−1 / 4/x What is lim x→+∞s(x)?arrow_forwardTrue or false? if f'(x)>0 for all real x values, then the limit as x goes to infinity of f(x) = infinity. Show a graph to illustrate your answer.arrow_forward
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