New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Limits Continuity and Differentiability question

2002 · Shift 0 · Q62

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2002 · Shift 0 · Q62

Limits Continuity and Differentiability question

2002 · Shift 0 · Q62

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x) - g''(x) = 0, f'(1) = 2, g'(1) = 4, f(2) = 3, g(2) = 9 then f(x) - g(x) at x =

{3 \over 2}

is

A
0
B
2
C
10
D
-5

More from Limits Continuity and Differentiability

$x \to 0 lim \frac{1 - c o s 2 x}{2 x}$ is2002 · MCQ
Let $f (2) = 4$ and $f^{'} (x) = 4.$ Then $x \to 2 lim \frac{x f ( 2 ) - 2 f ( x )}{x - 2}$ is given by2002 · MCQ
$x \to \infty lim (\frac{x ^{2} + 5 x + 3}{x ^{2} + x + 2})^{x}$ 2002 · MCQ
$x \to 0 lim \frac{l o g x ^{n} - [ x ]}{[ x ]}$ , $n \in N$ , ( [x] denotes the greatest integer less than or equal to x )2002 · MCQ
If $f (1) = 1, f^{'} (1) = 2,$ then $x \to 1 lim \frac{f ( x ) - 1}{x - 1}$ is2002 · MCQ
$f$ is defined in $[- 5, 5]$ as $f (x) = x$ if $x$ is rational $= - x$ if $x$ is irrational. Then2002 · MCQ
If f(x + y) = f(x).f(y) $\forall$ x, y and f(5) = 2, f'(0) = 3, then f'(5) is2002 · MCQ
For $α, β, γ \in R$ , if $lim_{x \to 0} \frac{x ^{2} s i n α x + ( γ - 1 ) e ^{x^{2}}}{s i n 2 x - β x} = 3$ , then $β + γ - α$ is equal to :2025 · MCQ