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Question Number 23237 by paro123 last updated on 27/Oct/17

Commented by prakash jain last updated on 28/Oct/17

$$\mathrm{If}\mathrm{the}\mathrm{function}\mathrm{is}1\mathrm{everywhere}\mathrm{except}$$$$\mathrm{at}\mathrm{origin}\mathrm{then}\mathrm{both}\mathrm{repeated}\mathrm{amd}$$$$\mathrm{combined}\mathrm{limit}\mathrm{exists}.$$

Commented by prakash jain last updated on 27/Oct/17

$$\mathrm{The}\mathrm{function}\mathrm{definition}\mathrm{is}\mathrm{not}\mathrm{complete}$$$$\mathrm{what}\mathrm{if}x=0\mathrm{and}y\ne 0\mathrm{or}y=0\mathrm{and}x\ne 0.$$$$\mathrm{please}\mathrm{recheck}\mathrm{question}$$

Commented by paro123 last updated on 27/Oct/17

$$\mathrm{here}\mathrm{f}(\mathrm{x},\mathrm{y})=0\mathrm{if}\mathrm{x}=0,\mathrm{y}=0\mathrm{and}1\mathrm{otherwise}$$

Commented by prakash jain last updated on 27/Oct/17

$$\mathrm{is}\mathrm{this}\mathrm{the}\mathrm{definition}\mathrm{then}?$$$$f(x,y)=\{\begin{array}{ll}0& x=y=0\\ 1& \mathrm{otherwise}\end{array}$$

Commented by paro123 last updated on 28/Oct/17

Commented by paro123 last updated on 28/Oct/17

$$\mathrm{No}.8.\left(\mathrm{ii}\right)$$

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