Download App

STD 11 - 12. limits — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 12. limits1 Mark
MCQ
$\mathop {Lim}\limits_{x \to 0} \,\, \frac{{{{\log }_{{{\sin }^2}x}}\cos x}}{{{{\log }_{{{\sin }^2}\frac{x}{2}}}\cos \frac{x}{2}}}$ has the value equal to
  • A
    $1$
  • B
    $2$
  • ✓
    $4$
  • D
    none of these
✓

Answer

Correct option: C.
$4$
c
Use base changing theorem and then use $L'$ Hospital's rule

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 "M.C.Q (1 Marks)" from STD 11 - 12. limits→STD 11 - 12. limits — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Urn $A$ contains $6$ red and $4$ black balls and urn $B$ contains $4$ red and $6$ black balls. One ball is drawn at random from urn $A$ and placed in urn $B$. Then one ball is drawn at random from urn $B$ and placed in urn $A$. If one ball is now drawn at random from urn $A$, the probability that it is found to be red, is
→
$\left( {\begin{array}{*{20}{c}}n\\0\end{array}} \right) + 2\,\left( {\begin{array}{*{20}{c}}n\\1\end{array}} \right) + {2^2}\left( {\begin{array}{*{20}{c}}n\\2\end{array}} \right) + ..... + {2^n}\left( {\begin{array}{*{20}{c}}n\\n\end{array}} \right)$ is equal to
→
$............$ statement is made up of two or more statements where each statement is known as $............$ statement.
→
If $a_1, a_2, a-n$, are in $AP$ with common difference $d,$ then the sum of the series $\sin \ce{d(cosec{~a_1}\ cosec {~a_2} + \ cosec {~a_2}\ cosec {~a_3}  +… + \ cosec {~a_{n-1}}\ cosec {~a_n})}$ is:
→
Let $C_0$ be a circle of radius $I$ . For $n \geq 1$, let $C_n$ be a circle whose area equals the area of a square inscribed in $C_{n-1} .$ Then, $\sum \limits_{i=0}^{\infty}$ Area $\left(C_i\right)$ equals
→
If the parabola $y^2= 4ax$ passes through the point $(3, 2),$ then the length of its latusrectum is:
→
A vertex of square is $(3, 4)$ and diagonal $x + 2y = 1,$ then the second diagonal which passes through given vertex will be
→
If the tangents at the points $P$ and $Q$ on the circle $x ^2+ y ^2-2 x + y =5$ meet at the point $R \left(\frac{9}{4}, 2\right)$, then the area of the triangle $PQR$ is
→
The equation of the line passing through the point $(1, 2)$ and perpendicular to the line $x + y + 1 = 0$ is:
→
Let $ABCD$ be a square of side of unit length. Let a circle $C _{1}$ centered at $A$ with unit radius is drawn. Another circle $C _{2}$ which touches $C _{1}$ and the lines $AD$ and $AB$ are tangent to it, is also drawn. Let a tangent line from the point $C$ to the circle $C _{2}$ meet the side $AB$ at $E$. If the length of $EB$ is $\alpha+\sqrt{3} \beta,$ where $\alpha, \beta$ are integers, then $\alpha+\beta$ is equal to.........
→