Evaluate the following limits in Exercise: _ x 4 4x+3 x-2 - Vidyadip

Question

Evaluate the following limits in Exercise: $\lim\limits_{\text{x} \rightarrow4}\frac{4\text{x}+3}{\text{x}-2}$

✓

Answer

$\lim\limits_{\text{x}\rightarrow4}\frac{4\text{x}+3}{\text{x}-2}=\frac{4(4)+3}{4-2}=\frac{16+3}{2}=\frac{19}{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 1 marks)" from LIMITS AND DERIVATIVES→LIMITS AND DERIVATIVES — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\text{X}=\{8^\text{n}-7\text{x}-1:\text{n}\in\text{N}\}$ and $\text{Y}=\{49(\text{n}-1):\text{n}\in\text{N}\},$ then prove thet $\text{X}\subseteq\text{Y}.$

Make correct statementby filling the symbol$\subset$or$\not\subset$in the blank space:{x : x is an even natural number} {x : x is an integer}

Write the common difference of an A.P. whose nth term is xn + y.

Let a sample space be S = {$\omega_1, \omega_2,..., \omega_6$}.Which of the following assignments of probabilities to each outcome are valid?

Outcomes	$\omega_1$	$\omega_2$	$\omega_3$	$\omega_4$	$\omega_5$	$\omega_6$
	$\frac 16$	$\frac 16$	$\frac 16$	$\frac 16$	$\frac 16$	$\frac 16$

If e and e are respectively the eccentricities of the ellipse $\frac{\text{x}^2}{18}+\frac{\text{y}^2}{4}=1$ and the hyperbola $\frac{\text{x}^2}{9}-\frac{\text{y}^2}{4}=1,$ then write the value of $2\text{e}_1^2 +\text{e}_2^2.$

Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.

Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = $\{\omega_{1}, \omega_{2}, \omega_{3}, \omega_{4}, \omega_{5}, \omega_{6}, \omega_{7}\}$

Assignment	$\omega_{1}$	$\omega_{2}$	$\omega_{3}$	$\omega_{4}$	$\omega_{5}$	$\omega_{6}$	$\omega_{7}$
	0.1	0.2	0.3	0.4	0.5	0.6	0.7

If $p^{\text {th }}, q^{\text {th }}$ and the terms of a G.P. are $x, y, z$ respectively, then write the value of $x^{q-r} y^{r-p} z^{p-q}$.

Write the sum of the series $1^2 - 2^2 + 3^2 - 4^2 + 5^2 - 6^2 + ..... + (2n - 1)^2 - (2n)^2$

{a, e}$\subset${ x, x is a vowel in the English alphabet}