Is this sentence correct?

[rajan]

Dear all,

Can you please tell me whether the following sentences are correct or not?

1. He will continue to be there.

I used to be because it is connecting continue with there. Word There is an adjective.

2. I am not being able to solve this problem.

[Mister Micawber]

.
1-- The sentence is fine, but there is not an adjective, but an adverb of place.
2-- no; I am not able. To be being is an extremely unlikely durative.
.

[rajan]

Thanks for the response.

BUt if we write, He will continue there. . Then?

What would be the difference.

.
1-- The sentence is fine, but there is not an adjective, but an adverb of place.
2-- no; I am not able. To be being is an extremely unlikely durative.
.

[Mister Micawber]

.
He will continue there is somewhat idiomatic, to my mind-- usually meaning he will continue in his work/position at that place.
.