Evaluate the following limit: limit as x rightwards arrow short dash infinity of fraction numerator 6 x squared plus 17 x minus 3 over denominator 5 x squared plus 14 x minus 3 end fraction. limit as x rightwards arrow short dash infinity of fraction numerator 6 x squared plus 17 x minus 3 over denominator 5 x squared plus 14 x minus 3 end fraction equals infinity limit as x rightwards arrow short dash infinity of fraction numerator 6 x squared plus 17 x minus 3 over denominator 5 x squared plus 14 x minus 3 end fraction equals short dash 6 over 5 limit as x rightwards arrow short dash infinity of fraction numerator 6 x squared plus 17 x minus 3 over denominator 5 x squared plus 14 x minus 3 end fraction equals 0 limit as x rightwards arrow short dash infinity of fraction numerator 6 x squared plus 17 x minus 3 over denominator 5 x squared plus 14 x minus 3 end fraction equals 6 over 5