Continuous Function In Exercises 103 and 104, find the value of c that makes the function continuous at x = 0 . f ( x ) = { ( e x + x ) 1 / x , x ≠ 0 c , x = 0
Continuous Function In Exercises 103 and 104, find the value of c that makes the function continuous at x = 0 . f ( x ) = { ( e x + x ) 1 / x , x ≠ 0 c , x = 0
Solution Summary: The author explains that the value of c is underset_e2.
2
Graph of h
6. The graph of the function h is given in the xy-plane. Which of the following statements is correct?
, the graph of h is increasing at an increasing rate.
(A) For
(B) For
(C) For
苏|4 K|4
π
π
, the graph of h is increasing at a decreasing rate.
2
0 and b>1
(B) a>0 and 01
(D) a<0 and 0
3.
Consider the sequences of functions fn: [-T, π] → R,
sin(n²x)
n(2)
n
(i) Find a function f : [-T, π] R such that fnf pointwise as
n∞. Further, show that f uniformly on [-T,π] as n→ ∞.
[20 Marks]
(ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]?
Justify your answer.
[10 Marks]
Good Day,
Please assist with the following.
Regards,
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