what is the value of the following limit

Question : what is the value of the following limit The value of the following limit is \[{\rm limit}_{x\rightarrow0}\frac{\sqrt x}{1-e^{2\sqrt x}}\] Sol: Let the limit as \[L={\rm limit}_{x\rightarrow0+}\frac{\sqrt x}{1-e^{2\sqrt x}}\] Substituting x=0+h where and taking limit as h->0 \[L={\rm limit}_{h\rightarrow0}\frac{\sqrt…

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