One mistake students sometimes make is the so-called `proof by example'. The proof by example refers to the situation where the statement is validated for some examples or cases rather than validating for the general case.

For the question below, choose the correct solution.
Show that for all .

Question

One mistake students sometimes make is the so-called `proof by example'. The proof by example refers to the situation where the statement is validated for some examples or cases rather than validating for the general case.  
 
   
 For the question below, choose the correct solution. 
 Show that    for all   .

Accepted Answer

If     then      and   . Therefore,    for all   .

Answer

Let   . We have   ,      and   . Therefore, we have    for all   .

Answer

By drawing the graph of the function    where   , we conclude that    for all   .

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One mistake students sometimes make is the so-called `proof by example'. The pro...

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