MHT-CET

15. Limits, Continuity & Differentiability question bank (Mathematics)

Practice 103 free MHT-CET Mathematics - 15. Limits, Continuity & Differentiability questions with answers and step-by-step solutions.

Start free Book a demo
All Easy Hard Medium
Q1.

If $f(x) = 3x^{10} - 7x^8 + 5x^6 - 21x^3 + 3x^2 - 7$,then $\lim_{\alpha \rightarrow 0} \frac{f(1-\alpha) - f(1)}{\alpha^3 + 3\alpha} =$

(A)
$\frac{53}{3}$
(B)
$\frac{-53}{3}$
(C)
$\frac{52}{3}$
(D)
$\frac{-52}{3}$
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Q2.

$\lim _{x \rightarrow 3} \frac{(84-x)^{\frac{1}{4}}-3}{x-3}$ is

(A)
$\frac{-1}{108}$
(B)
$\frac{-1}{84}$
(C)
$\frac{-1}{27}$
(D)
$\frac{-1}{4}$
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Protected Questions

Unlock All 36 Questions in 15. Limits, Continuity & Differentiability

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign in to unlock Create free account

Sign up free to access all 36 questions

Unlock every 15. Limits, Continuity & Differentiability question, generate papers, and practice at your own pace.

Start free