Evaluate the following limits in Exercise: _ x 0 x - Vidyadip

Question

Evaluate the following limits in Exercise:$\lim\limits_{\text{x}\rightarrow0}\text{x}\sec\text{x}$

✓

Answer

$\lim\limits_{\text{x}\rightarrow0}\text{x}\sec\text{x}=\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}}{\cos\text{x}}=\frac{0}{\cos0}=0$

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 A and B are non-empty sets, then A $\times$ B is a non-empty set of ordered pairs (x, y) such that x $\in$ A and y $\in$ B. If the statement is false, rewrite the given statement correctly.

Given 5 flags of different colours, how many different signals can be generated, if each signal requires the use of 2 flags, one below the other?

From the sets given below, select equal sets and equivalent sets. A = {0, a}, B = {1, 2, 3, 4}, C = {4, 8, 12}, D = {3, 1, 2, 4}, E = {1, 0}, F = {8, 4, 12}, G = {1, 5, 7, 11}, H = {a, b}.

Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Is {0, 1, 2, 3, 4, 5, 6}be considered as universal setfor all the three sets A, B and C?

What is the total number of elementary events associated to the random experiment of throwing three dice together?

A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man?

Write the number of ways in which 5 red and 4 white balls can be drawn from a bag containing 10 red and 8 white balls.

If A = {1, 2, 3}, B = {4, 5, 6}, the given following are relations from A to B? Give reason in support of your answer. {(1, 5), (2, 6), (3, 4), (3, 6)}

Ifb and care lengths of the segments of any focal chord of the parabola $y^2 = 4ax$, then write the length of its latus-rectum.

Write down the all possible subset of the given set.
$\{\phi\}.$