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Get 11+ pages lim 1 1 e 1 x solution in PDF format. As x goes to 0 1x goes to infinity so the problem becomes displaystyle displaystylelim_ytoinfty fracey- 1ey 1. Of course y cannot be infinity but we can take this limit. Yes you can says that lim_ xto 0dfrac ex-1 sin x equal to lim_ xto 0dfrac ex-1 x but not just because x and sin x tend both to 0 for xto 0 this is not enough. Check also: summary and lim 1 1 e 1 x
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