Mathematical Functions and Expressions set 11

Que.If a function is differentiable, the function is continuous.
a. True
b. False
c. May be True or False
d. Can’t say
Que.What is the code to solve limₓ→₁(logx)ˡᵒᵍˣ?
a. syms x;limit(‘log(x)^(log(x))’,x,1)
b. limit(‘log(x)^(log(x))’,x,1)
c. syms x;limit(log(x)^(log(x)),x,1)
d. Cannot be solved
Que.What is the output of the following code?
sym x;limit(log(x)^(log(x)),x,1)

a. Error
b. 1
c. 0
d. Cannot be defined
Que.What is the output in the following case?
syms x; limit(sin(x)/x)

a. 0
b. 1
c. Error
d. garbage value
Que.What will be the output of the following code?
sym x;limit(‘log(x)^(log(x))’,1,’right’)

a. Error
b. 0
c. 1
d. Nan
Que.What will be the output of the following code?
syms x;limit('(sin(x)/x)',x,Inf,'left')

a. 0
b. Nan
c. Inf
d. 1
Que.What will be the output of the following code?
sym x; limit(ans^2\sin(ans),Inf)

a. 0
b. Error
c. Nan
d. Cannot be determined
Que.The condition for removal discontinuity is ____________
a. Left hand limit = right hand limit ≠ function value
b. Left hand limit ≠ right hand limit = function value
c. Right hand limit ≠ left hand limit = function value
d. Left hand limit ≠ right hand limit ≠ function value
Que.Can we perform infinite series summation in MATLAB?
a. Yes
b. No
c. Cannot be determined
d. Sometimes
Que.Negative limiting values cannot be applied to logarithmic functions in MATLAB.
a. True
b. False
c. May be True or False
d. Can’t say