I have trouble with these can anyone help me work out this problem. lim e^((5x^2+sinx)/(x^2+20)) x-infinity Thanks in advance.
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Originally Posted by macro I have trouble with these can anyone help me work out this problem. lim e^((5x^2+sinx)/(x^2+20)) x-infinity Thanks in advance. ignore the exponent's base for a moment ... what is this limit?
it's 5 right since its the principle term?
Originally Posted by macro it's 5 right since its the principle term? correct. so, what is ?
Is the limit e^5 since its a constant?
Originally Posted by macro Is the limit e^5 since its a constant? yes, the limit is ... I don't know what you mean by "it's a constant" the limit is just a property of composite functions ... if , then
oh ok thanks a bunch
The crucial point is that is a continuous function: .
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