Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Continuity & Differentiability

Let f: (0, ∞) → \(\mathbb R\) be uniformly continuous then

1
\(\lim_{x\to0^+}f(x)\) exist
2
​\(\lim_{x\to\infty}f(x)\)\(\lim_{x\to\infty}f(x)\) exist​
3
Both \(\lim_{x\to0^+}f(x)\) and \(\lim_{x\to\infty}f(x)\) exist
4
Both does may not exist
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