Thread: Limits

Originally Posted by alexandriaruth

Hint: for each problem, multiply by the conjugate over itself, for instance, for the first you would multiply by . see if you can take it from there

i have tried that but i keep just rearranging the function and i never get an answer
14x-5/{(sqrt(x^2)+14x-5)+x}

Originally Posted by alexandriaruth

i have tried that but i keep just rearranging the function and i never get an answer
14x-5/{(sqrt(x^2)+14x-5)+x}

factor out of the square root. you get



now in this case, since , we have is positive, and hence, , so we get



now divide the top and bottom by and take the limit