D dimon New member Joined Jul 9, 2006 Messages 15 Sep 15, 2006 #1 hi i can't solve this problem Find limit as h --> 0 of {(11-(121+h)^(1/2)}/h i tried to factor but wasn't able to
hi i can't solve this problem Find limit as h --> 0 of {(11-(121+h)^(1/2)}/h i tried to factor but wasn't able to
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Sep 15, 2006 #2 Multiply top and bottom by the conjugate of the numerator: \(\displaystyle \L\\\lim_{h\to\0}\frac{11-\sqrt{121+h}}{h}\cdot\frac{11+\sqrt{121+h}}{11+\sqrt{121+h}}=\lim_{h\to\0}\frac{-h}{h(11+\sqrt{121+h})}\) Now, finish up?.
Multiply top and bottom by the conjugate of the numerator: \(\displaystyle \L\\\lim_{h\to\0}\frac{11-\sqrt{121+h}}{h}\cdot\frac{11+\sqrt{121+h}}{11+\sqrt{121+h}}=\lim_{h\to\0}\frac{-h}{h(11+\sqrt{121+h})}\) Now, finish up?.
