Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Properties of f(x) = limn→∞
(tan x)2n+x2
sin2 x+(tan x)2n for x ∈(−π/2, π/2):</p>
Step-by-Step Solution
Key Concept: General
<p>• Case | tan x| > 1: f(x) = 1.</p> • Case | tan x| < 1: f(x) = x2/ sin2 x. • Case | tan x| = 1: f(x) = 1+x2 1+sin2 x.
Correct Answer: (A, B, C)