11th Class
Mathematics
Sample Paper
Maths Olympiad Model Test Paper-12
question_answer
Let \[f:R\to [0,\infty )\] be such that \[\underset{x\to 5}{\mathop{\lim }}\,\,\,f(x)\] exists and \[\underset{x\to 5}{\mathop{\lim }}\,\,\,\,\frac{{{[f(x)]}^{2}}-9}{\sqrt{|x-5|}}=0\]. Then, \[\underset{x\to 5}{\mathop{\lim }}\,\,\,f(x)\] equals to ________.