{\lim}_{x\to1+} \frac{x^2-\sqrtx}{\sqrtx-1}

TS ICET 23 May 2019 Shift 1 Paper

Question : 135 of 200

Marks: +1, -0

{\lim}↙{x→1+} {x^2-√x}/{√x-1}

Solution:

{Lt}↙{x → 1} \;{x^{2}-√{x}}/{√{x}-1}

\;{Lt}↙{x → 1} \;{(x^{2}-1)-(√{x}-1)}/{(√{x}-1)}

\;{Lt}↙{x → 1} \;{1(x+1)(x-1)}/{√{x}-1}-1

{\Lt}↙{x → 1}(x+1)(√{x}+1)-1=(2)(2)-1=3

Go to Question:

Prev Question

Next Question