Question 12 MarksFind $\lim _{x \rightarrow 2} \frac{2 x^5-64}{x-2}$.Answer$160$View full question & answer→
Question 22 MarksFind $\lim _{x \rightarrow-2} \frac{x^2-4}{x+2}$.Answer$-4$View full question & answer→
Question 32 MarksFind $\lim _{x \rightarrow 0} \frac{x^3-7 x^2+10 x}{5 x^2+3 x}$Answer$\frac{10}{3}$View full question & answer→
Question 42 MarksFind $\lim _{x \rightarrow 2} \frac{x+3}{x-1}$ and $\lim _{x \rightarrow 5} \frac{x^2-10 x+25}{x+2}$.Answer$5$ and $0$View full question & answer→
Question 52 MarksIf $N\left(K_1, 0.02\right)=\left(3.98, K_2\right)$, find the values of $K_1$ and $K_2$.Answer$K_1=4, \quad K_2=4.02$View full question & answer→
Question 62 MarksIf $|x-m|<1.05=(n, 6.05)$. find the values of $m$ and $n$.Answer$m=5, n=3.95$View full question & answer→
Question 72 MarksExpress $|2 x+5|<1$ in the neighbourhood form and the interval form.Answer$N\left(-\frac{5}{2}, \frac{1}{2}\right),(-3,-2)$View full question & answer→
Question 82 MarksFor a certain value of $x$, limit of a function $f(x)$ is $2$ and that of a function $g(x)$ is $3 .$ What is the limit of function $[3 f(x)+2 g(x)]$ at the same value of $x ?$Answer$12$View full question & answer→
Question 92 MarksFind $\lim _{x \rightarrow 1} f(x)$, if $\lim _ {x \rightarrow 1}\left[\frac{f(x)}{x^2+5}\right]=\frac{5}{12}$.Answer$\frac{5}{2}$View full question & answer→
Question 102 MarksExpress $(120.1,135.6)$ in the modulus form.Answer$|x-127.85|<7.75$View full question & answer→
Question 112 MarksExpress $(-5.05,-4.95)$ in the modulus form.Answer$|x+5|<0.05$View full question & answer→
Question 162 MarksExplain the meaning of $|x-a|<\delta$ and present it in the neighbourhood form and the interval form.View full question & answer→
Question 172 MarksWhat is meant by an interval ? Define different types of interval.View full question & answer→