Please solve both the parts Q 23 Consider the functions defined as follows, for x≠0 In each case, what - Maths - Continuity and Differentiability

Question

Please solve both the parts
Q 23 Consider the functions defined as follows, for x ≠ 0 In
each case, what choice (if any) of f (0) will make the function
continuous at x = 0?
(i) f x = 1 + x 3 - 1 x
(ii) f x = 5 x - 3 tan   x + sin   2 x x

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Please solve both the parts Q.23.Consider the functions defined as follows, for x ≠ 0 . In each case, what choice (if any) of f (0) will make the function continuous at x = 0? (i) f x = 1 + x 3 - 1 x (ii) f x = 5 x - 3 tan x + sin 2 x x

Please solve both the parts
Q.23.Consider the functions defined as follows, for $x \neq 0$ . In each case, what choice (if any) of f (0) will make the function continuous at x = 0?
(i) $f (x) = \frac{\sqrt[3]{1 + x} - 1}{x}$
(ii) $f (x) = \frac{5 |x| - 3 \tan x + \sin 2 x}{x}$