Evaluate the following limit: _ x 0 x+8 x - Vidyadip

Question

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\sqrt{\text{x}+8}}{\sqrt{\text{x}}}$

✓

Answer

$\lim\limits_{\text{x}\rightarrow0}\frac{\sqrt{\text{x}+8}}{\sqrt{\text{x}}}=\frac{\sqrt{(1+8)}}{\sqrt{1}}=\sqrt{9}=3$

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 "1 Marks Question" from Limits→Limits — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Write the common difference of an A.P. the sum of whose first n terms is $\frac{\text{p}}{2}\text{n}^2+\text{Qn}.$

Write the maximum and minimum values of $3\cos\text{x}+4\sin\text{x}+5.$

Show that the given set that is X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL” are equal? Justify your answer.

Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.

Form the biconditional statement p ↔ q, where.
p: A natural number n is odd.
q: Natural number n is not divisible by 2.

Write down the converse of following statement:
If you go to Agra, then you must visit Taj Mahal.

Taking the set of natural numbers as the universal set, write down the complement of the set: {x : x is an even natural number}

Sum of all two digit numbers which when divided by 4 yield unity as remainder is:

1200
1210
1250
None of these.

If $\tan\text{A}+\cot\text{A}=4,$ then write the value of $\tan^4\text{A}+\cot^4\text{A}.$

Let A = {–1, 2, 3} and B = {1, 3}. Determine:
B × B