Question:
If f(x) = \(\begin{vmatrix} cosx & 1 & 0 \\ 0 & 2cosx & 3 \\ 0 & 1 & 2cosx \\ \end{vmatrix}\) then \(\lim\limits_{x\rightarrow\pi} f(x)=\)
If f(x) = \(\begin{vmatrix} cosx & 1 & 0 \\ 0 & 2cosx & 3 \\ 0 & 1 & 2cosx \\ \end{vmatrix}\) then \(\lim\limits_{x\rightarrow\pi} f(x)=\)
Updated On: Apr 17, 2024
- -1
- 1
- 0
- 3
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is () :
Was this answer helpful?
0
0
Top Questions on limits of trigonometric functions
- If \(\lim\limits_{x \rightarrow 0} \frac{\sin(2+x)-\sin(2-x)}{x}\)= A cos B, then the values of A and B respectively are
- KCET - 2023
- Mathematics
- limits of trigonometric functions
- Let \(cos^{-1}\frac{y}{b}\)=\(log_e (\frac{x}{n})^n\), then Ay2+By1+Cy=0 is possible : (where y2=\(\frac{d^2y}{dx^2}\), y1=\(\frac{dy}{dx}\))
- WBJEE - 2023
- Mathematics
- limits of trigonometric functions
- \(\begin{array}{l}\displaystyle \lim_{ x\to 0}\left(\frac{(x+2\cos x)^3 + 2(x+2\cos x)^2 + 3 \sin(x+2\cos x)}{(x+2)^3+2(x+2)^2+3\sin(x+2)}\right)^{\frac{100}{x}} \end{array}\)is equal to _________.
- JEE Main - 2022
- Mathematics
- limits of trigonometric functions
\(\lim_{{x \to 0}} \limits\) \(\frac{cos(sin x) - cos x }{x^4}\) is equal to :
- JEE Main - 2022
- Mathematics
- limits of trigonometric functions
- \(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\) is equal to
- KCET - 2020
- Mathematics
- limits of trigonometric functions
View More Questions
Questions Asked in KCET exam
- The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is vrms. The ratio of the velocities v and vrms for helium and oxygen gases are X and X' respectively. Then \(\frac{X}{X'}\) is equal to
- KCET - 2023
- Thermodynamics
- If \(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\) are in A.P., then p, q, r
- KCET - 2023
- Arithmetic Progression
- A stretched wire of a material whose Young's modulus Y = 2 × 1011 Nm-2 has Poisson's ratio of 0.25. Its lateral strain εl = 10-3. The elastic energy density of the wire is
- KCET - 2023
- mechanical properties of solids
- A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field BH = 3 × 10-5 T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms-2 )
- KCET - 2023
- Faradays laws of induction
- A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is
- KCET - 2023
- Quantum Physics
View More Questions