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lim_{x->0}(1+x+x^2-e^x)/x^2

How i did it.

=>lim_{x->0}(1-e^x)/x^2+(x+x^2)/x^2

=>lim_{x->0}((1-e^x)/x)*1/x+1/x+1

using lim_{x->0}(e^x-1)/x=1

=>lim_{x->0}(-1)*1/x+1/x+1

=>lim_{x->0}1

=>Answer=1. (hope you understand my writing way. Where are list of tags for this forum)

I think i do nothing wrong but this is wrong answer. Applying L'Hospital rule it's answer will come out to be 1/2 which is correct answer.Tell me where i am wrong

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# Homework Help: Where am i wrong in this limits question?

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