====== Unit 01: Functions and Limits ======
Here is the list of important questions.
<list-group>
  * Evaluate $\lim\limits_{\theta \to 0}\frac{1-\cos \theta}{\sin^3\theta}$  --- // FBSIC (2016)//
  * Graph the curve of the following parametric equations $x=\sec \theta$, $y=\tan\theta$ where $\theta$ is a parameter.--- // FBSIC (2016)//
  * Evaluate $\lim\limits_{x \to 2}\frac{\sqrt{x}-\sqrt{2}}{x-2}$ --- // BSIC Rawalpendi(2016),  BSIC Rawalpendi(2017)//
  * Determine the function $f(x)=x^3+x$ as an even or odd function.--- // BSIC Rawalpendi(2017)//
  * Evaluate $\lim\limits_{\theta \to 0}\frac{\tan \theta-\sin \theta}{\sin^3\theta}$ --- // BSIC Rawalpendi(2017)//
  * Evaluate $f(x)=x^2-x$ then find $f(x-1)$ --- // BSIC Gujrawala (2017)//
  * $f(x)x^3-x$. Determine whether the $f(x)$ is even or odd. --- // BSIC Gujranwala (2017)//
  * Evaluate $\lim\limits_{x \to -1}\frac{x^3-1}{x+1}$ --- // BSIC Gujrawala (2017)//
  * Prove that $\lim\limits_{x \to 0}\frac{a^x-1}{x}=log_ea$ --- // BSIC Gujrawala (2017)//
  * Prove that $\cosh^2x-\sinh^2x=1$ --- // BSIC Rawalpindi(2016)//
  * Evaluate $\lim\limits_{x \to \pi}\frac{sinx}{\pi-x}$ --- // BSIC Rawalpindi(2016)//
  * Evalute $\lim\limits_{x \to 0}\frac{1-\cos2x}{x^2}$ --- // BSIC Rawalpindi(2016)//
  * Let the real valued functions $f$ and $g$ be defined by $f(x)=2x+1$ and $g(x)=x^2-1$. Obtain the exprssion for $fg(x);gf(x);f^2(x);g^2(x)$. ---// FBSIC (2017)//
  * Evalute $\lim\limits_{x \to 0}\frac{sinx^0}{x}$  --- // BSIC Gujranwala (2016)//
  * Evaluate $\lim\limits_{x \to 0}\frac{secx-cosx}{x}$  --- // BSIC Gujranwala (2016)//
  * Evalute $\lim\limits_{x \to \infty}\frac{2-3x}{\sqrt{3+4x^2}}$  --- // BSIC Gujranwala (2015)//
  * Prove that $\lim\limits_{x \to 0}\frac{a^x-1}{x}={log_e}^a$  --- // BSIC Gujranwala (2015)//
  * Find $f(x)$, if $f(x)=2+\sqrt{x-1}$. Also write domain and range of $f^{-1}(x)$ --- // BSIC Gujranwala (2015)//
  * Evaluate the limit. $\lim\limits_{x \to 0}\frac{\sec x- \cos x}{x}$ --- // BSIC Gujranwala (2015)//
  * Let the real valued functions $f$ and $g$ be defined by $f(x)=2x+1$ and $g(x)=x^2-1$. Obtain the expressions for $fg(x);gf(x);f^2(x);g^2(x)$ --- // FBSIC (2017)//
  * Evaluate $\lim\limits_{x \to 0}\frac{1-\cos p\theta}{1-\cos q\theta}$  --- // FBSIC (2017)//
  * Evaluate $\lim\limits_{x \to 3}\frac{x-3}{\sqrt{x}-\sqrt{3}}$  --- // BSIC Sargodha(2016)//
  * Determined the function is even or odd if $f(x)=x^3+x$.--- // BSIC Sargodha(2016)//
  * Define continuity of function at a point. --- // BSIC Sargodha(2016)//
  * $f(x)=(-x+9)^3$, find $f^{-1}(x)$ and verify $f(f^{-1}(x))=f^{-1}(f(x))=x$ --- // BSIC Sargodha(2016)//
  * Express the volume $V$ of a cube as a function of the area $A$ of its base. --- // BSIC Sargodha(2017)//
  * $f(x)=x^{\frac{2}{3}}+6$. Determine whether the $f(x)$ is even or odd. --- // BSIC Sargodha(2017)//
  * Evaluate $\lim\limits_{x \to -1}\frac{x^3+x^2}{x^2-1}$. --- // BSIC Sargodha(2017)//
  * Evaluate $\lim\limits_{\theta \to 0}\frac{\tan \theta -\sin \theta}{\sin^3 \theta}$. --- // BSIC Sargodha(2017)//

  


</list-group>
{{tag>FSc FSc_Part2 Important_Questions_FSc_2}}