Question

Evaluate: $\underset{x\to 4^{+}}{Lim}\frac{x^2-7x+12}{x-\left[x\right]}$

• A. $1$
• B. $0$
• C. $2$
• D. does not exists

Answer 1

Answer: (A)

$1$

As x $\to 4^{+}$

$4<x<5$ Or, $\left[x\right]=4$

Thus the question simplifies to,

${lim}_{x\to 4^{+}}\frac{(x-3)(x-4)}{x-4}$

$={lim}_{x\to 4^{+}}x-3$

$=1$