Evaluate the following one sided limits: (i)limx→2+x−3x2−4 (ii)l

1.	Evaluate the following one sided limits: (i)limx→2+x−3x2−4 (ii)limx→2−x−3x2−4 (iii)limx→0+13x (iv)limx→8+2xx+8 (v)limx→0+2x15 (vi)limx→π−2tan x (vii)limx→π2+sec x (viii)limx→0−x2−3x+2x3−2x2 (ix)limx→−2+x2−12x+4 (x)limx→0+(2−cot x) (xi)limx→0−1+cosecx
Answer» Evaluate the following one sided limits: $(i) {lim}_{x \to 2^{+}} \frac{x - 3}{x^{2} - 4}$ $(i i) {lim}_{x \to 2^{-}} \frac{x - 3}{x^{2} - 4}$ $(i i i) {lim}_{x \to 0^{+}} \frac{1}{3 x}$ $(i v) {lim}_{x \to 8^{+}} \frac{2 x}{x + 8}$ $(v) {lim}_{x \to 0^{+}} \frac{2}{x^{\frac{1}{5}}}$ $(v i) {lim}_{x \to \frac{π^{-}}{2}} t a n x$ $(v i i) {lim}_{x \to \frac{π}{2^{+}}} s e c x$ $(v i i i) {lim}_{x \to 0^{-}} \frac{x^{2} - 3 x + 2}{x^{3} - 2 x^{2}}$ $(i x) {lim}_{x \to - 2^{+}} \frac{x^{2} - 1}{2 x + 4}$ $(x) {lim}_{x \to 0^{+}} (2 - c o t x)$ $(x i) {lim}_{x \to 0^{-}} 1 + c o s e c x$

Evaluate the following one sided limits: (i)limx→2+x−3x2−4 (ii)limx→2−x−3x2−4 (iii)limx→0+13x (iv)limx→8+2xx+8 (v)limx→0+2x15 (vi)limx→π−2tan x (vii)limx→π2+sec x (viii)limx→0−x2−3x+2x3−2x2 (ix)limx→−2+x2−12x+4 (x)limx→0+(2−cot x) (xi)limx→0−1+cosecx

Answer»

Evaluate the following one sided limits:

$(i) {lim}_{x \to 2^{+}} \frac{x - 3}{x^{2} - 4}$

$(i i) {lim}_{x \to 2^{-}} \frac{x - 3}{x^{2} - 4}$

$(i i i) {lim}_{x \to 0^{+}} \frac{1}{3 x}$

$(i v) {lim}_{x \to 8^{+}} \frac{2 x}{x + 8}$

$(v) {lim}_{x \to 0^{+}} \frac{2}{x^{\frac{1}{5}}}$

$(v i) {lim}_{x \to \frac{π^{-}}{2}} t a n x$

$(v i i) {lim}_{x \to \frac{π}{2^{+}}} s e c x$

$(v i i i) {lim}_{x \to 0^{-}} \frac{x^{2} - 3 x + 2}{x^{3} - 2 x^{2}}$

$(i x) {lim}_{x \to - 2^{+}} \frac{x^{2} - 1}{2 x + 4}$

$(x) {lim}_{x \to 0^{+}} (2 - c o t x)$

$(x i) {lim}_{x \to 0^{-}} 1 + c o s e c x$