Mathematical Functions and Expressions set 10

Que.Can we check the continuity of a function in MATLAB?
a. Yes
b. No
c. Sometimes
d. Rarely
Que.What is the output of the following code?
limit(x^2,x,1,’left’)

a. 1
b. 0
c. x should be declared symbolic
d. Cannot be determined
Que.What is the error in the following code?
limit(x^2,y,1,'left')

a. The function
b. The symbolic argument
c. Left should’ve been without
d. No error
Que.How can we check whether the limₙ→₃₊ₙ₋₁ exists?
a. limit(n-1,n,3)
b. syms n;limit(n-1,n,3,’right’)
c. syms n;limit(n-1,3,’right’)
d. syms n;limit(n-1,3,n,’right’)
Que.What is the output of the following code?
syms n;limit(n-1,n,Inf,’right’)

a. Inf
b. Nan
c. 0
d. Error
Que.What is the output of the following code?
syms n;limit(n-1,n,nan,'left')

a. 0
b. Inf
c. Nan
d. Error
Que.What is the output of the following code?
syms x;limit(((1-cos(x))/(x^2)),x,0)

a. 0
b. 1⁄2
c. Error
d. Infinite
Que.What is the output of the following code?
syms x;limit(((1-cos(x))/(x^2)),x,Inf)

a. Inf
b. 0
c. Nan
d. Error
Que.What is the output of the following code?
syms x;limit((((Inf*x)-cos(x))/(x^2)),x,0)

a. limit(Inf/x, x, 0)
b. Inf
c. Nan
d. Error
Que.What is the output of the following code?
limit(0/0, x, 0)

a. Nan
b. Inf
c. 0
d. Error