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1. The problem statement, all variables and given/known data

does lim x →0 sin(1/x) exist?

3. The attempt at a solution

I am very new to calculus. From what i have understood till now, limit of a function at a point exists only if the left and right hand limits are equal. What would the graph of sin(1/x) look like? Would the left and right hand limits exist? Do they exist in all cases, for all functions?

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# Does lim x →0 sin 1/x exist? also....

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