Limits, Continuity & Differentiability
Continuity And Differentiability
nta_abhyas_2025
Grade 12
Question:
The value of $f(0)$ so that the function $f(x) = \frac{1 - \cos(1 - \cos x)}{x^4}$ is continuous everywhere is $k$, then value of $10k$ is
Step-by-Step Solution
Key Concept: Continuity and differentiability conditions often lead to algebraic equations that must be solved to find unknown parameters.
This question requires finding a specific numerical value related to continuity and differentiability. The answer $1.25$ or $\frac{5}{4}$ suggests computation involving limits, derivatives, or continuity conditions at a particular point, likely involving solving an equation where the continuity or differentiability condition provides a constraint.
Correct Answer: 1.25