New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Limits Continuity and Differentiability · 2014 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Advanced
Papers
2014 · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2014 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q32.Let $f : (a, b) \to [1, \infty)$ be a continuous function and g : R $\to$ R be defined as $g (x) = {0, x b$ Then,
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q39.The largest value of the non-negative integer a for which $x \to 1 lim {\frac{- a x + s i n ( x - 1 ) + a}{x + s i n ( x - 1 ) - 1}}^{\frac{1 - x}{1 - x}} = \frac{1}{4}$ is
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.Let f : R $\to$ R and g : R $\to$ R be respectively given by f(x) = | x | + 1 and g(x) = x2 + 1. Define h : R $\to$ R by $h (x) = {max {f (x), g (x)}, min {f (x), g (x)}, i f x \leq 0. i f x > 0.$ …
Mathematics · Limits Continuity and Differentiability · Numerical