New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Limits Continuity and Differentiability question

2019 · 10 Apr · Shift 1 · Q42

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

PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 10 Apr · Shift 1 · Q42

Limits Continuity and Differentiability question

2019 · 10 Apr · Shift 1 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\mathop {\lim }\limits_{x \to 1} {{{x^4} - 1} \over {x - 1}} = \mathop {\lim }\limits_{x \to k} {{{x^3} - {k^3}} \over {{x^2} - {k^2}}}

, then k is :

A
${3 \over 2}$
B
${8 \over 3}$
C
${4 \over 3}$
D
${3 \over 8}$

More from Limits Continuity and Differentiability

If $x \to 1 lim \frac{x ^{2} - a x + b}{x - 1} = 5$ , then a + b is equal to :2019 · MCQ
For each t $\in$ R , let [t] be the greatest integer less than or equal to t Then $x \to 1^{+} lim \frac{( 1 - ∣ x ∣ + s i n ∣ 1 - x ∣ ) s i n ( \frac{π}{2} [ 1 - x ] )}{∣ 1 - x ∣ . [ 1 - x ]}$ …2019 · MCQ
Let $f (x) = {max {∣ x ∣, x^{2}} 8 - 2 ∣ x ∣ ∣ x ∣ \leq 2 2 < ∣ x ∣ \leq 4$ Let S be the set…2019 · MCQ
Let f : ( $-$ 1, 1) $\to$ R be a function defined by f(x) = max ${- ∣ x ∣, - 1 - x^{2}} .$ If K be the set of all points at which f is not differentiable, then K has exactly -2019 · MCQ
Let [x] denote the greatest integer less than or equal to x. Then $x \to 0 lim \frac{t a n ( π s i n ^{2} x ) + ( ∣ x ∣ - s i n ( x [ x ] ) ) ^{2}}{x ^{2}}$ …2019 · MCQ
Let $f (x) = {- 1 x^{2} - 1, - 2 \leq x < 0 0 \leq x \leq 2$ and $g (x) = ∣ f (x) ∣ + f (∣ x ∣) .$ …2019 · MCQ
$x \to 0 lim \frac{x c o t ( 4 x )}{s i n ^{2} x c o t ^{2} ( 2 x )}$ is equal to :2019 · MCQ
Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – $π$ ) cos |x| is not differentiable. Then the set K is equal to :2019 · MCQ