document.write( "Question 995368: I'd guess this is an easy problem but something I don't see here. \r
\n" ); document.write( "\n" ); document.write( "Evaluate the limit lim(t->3) (2^t-8)/(t-3) (Hint: think derivative) \r
\n" ); document.write( "\n" ); document.write( "Please explain how to solve
\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #614120 by addingup(3677) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the limit:
\n" ); document.write( "lim_(x->3)(2^t-8)/(t-3)
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\n" ); document.write( "Since (2^t-8)/(t-3) is constant with respect to x, and the limit of a constant is that constant, lim_(x->3)(2^t-8)/(t-3)= (2^t-8)/(t-3)= (2^t-8)/(t-3)
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\n" ); document.write( "P.S.: you are asking us to find the limit so I'm not sure what you mean by \"think derivative\". If you try to derivate it you get 0 for an answer:
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\n" ); document.write( "d/dx(lim_(x->3)(2^t-8)/(t-3))
\n" ); document.write( "Rewrite: lim_(x->3)(2^t-8)/(t-3)= (-8+2^t)/(-3+t):
\n" ); document.write( "= d/dx((-8+2^t)/(-3+t))
\n" ); document.write( "The derivative of (2^t-8)/(t-3) is zero, therefore your answer is 0 \n" ); document.write( "

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